a. Express log4 x in terms of log 2 x. b. Using your answer of part a,

Question:

a. Express log4 x in terms of log₂ x.

b. Using your answer of part a, and the substitution u = log₂ x, solve the equation log₄ x + log₂ x = 12.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Aug 25, 2021 01:41 AM

See More Questions

a. Express log 4 x in terms of log 2 x. b. Express log 8 y in terms of log 2 y. c. Hence solve, the simultaneous equations 6 log 4 x + 3 log 8 y = 16 log 2 x 2 log 4 y = 4
Express sinh -1 x in terms of logarithms.
Write 8 sinh x + 5 cosh x in terms of e x and e x .
Show that is one-to-one and find f(x) = J2 1 + 1 dt
A 2.500-g sample of a mixture of sodium carbonate and sodium chloride is dissolved in 25.00 mL of 0.798 M HCl. Some acid remains after the treatment of the sample. a. Write the net ionic equation for...
Time cards are being entered into the accounting system for four employees. The costs for Employee 1 are to be billed to job cost code 302.01.01100L. Ten hours of Employee 2 time is to be billed to...
One electrode in an alkaline battery is zinc, and the other is manganese dioxide. Fill in the blank for the chemical reaction $(a)$ at the zinc electrode: \(\mathrm{Zn}+2 \mathrm{OH}^{-}...
BMWs sales slipped during the worldwide recession in 2008 and 2009. Is its segmentation strategy too selective? Why or why not?
6. An igloo, a hemispherical enclosure built of ice (1.67 J/m-sC), has as inner radius of 2.50m. The thickness of the ice is 0.5m. At what rate must thermal energy be generated to maintain the air...
Reconsider the portfolio optimization problem considered in Section 8.5, where the goal was to select the portfolio that beat the market for the largest number of quarters over the last six years. a....
Solve, giving your answers correct to 3 sf. a. ln x = 3 b. ln x = - 2 c. ln (c + 1) = 7 d. ln (2x 5) = 3
Solve, giving your answers correct to 3 sf. a. 2 2x + 2 x+1 15 = 0 b. 6 2x 6 x+1 + 7 = 0 c. 3 2x 2(3 x+1 ) + 8 = 0 d. 4 2x+1 = 17 (4 x ) - 15
Consider the following table of values of the functions f and g and their derivatives at various points. Find the following using the table above. (a) D x ( [ g(x)]) at x = 1 (b) D x 1 [ g(x2]) at x...
Consider the following assembly code generated for a function int F(int x, int y): wwww push mov www ebp ebp esp sub esp, 4 mov wwwwww mov wwwwww add mov wwww mov www sub mov www leave DWORD PTR...
Elizabeth, a resident, carries on a retail business selling health foods to the public. Up to 30 April o the current tax year she operated her business from her own premises. On 30 April she sold her...
Write a Matlab program to accept a string as input and determine if this string is a palindrome. A palindrome is a sentence that reads the same backward as forward, such as "Reward a Toyota drawer"...
Aleksandr Global Corporation wants to create a sales budget. The company anticipates the projected following sales per quarter: Quarter 1 = 12,000 units, Quarter 2 = 15,000 units, Quarter 3 = 10,000...
Kingston Manufacturing, a company specializing in custom orders, applies job-order costing. At the end of each year, Kingston Manufacturing adjusts its accounts by closing out any overapplied or...
For each of the nonsingular matrices in Exercise 1.5.24, use your computed inverse to solve the associated linear system A x = b, where b is the column vector of the appropriate size that has all 1's...
1) The government decided to reduce taxes on fast-food to increase revenue. The government assumes that fast-food products have a) An inelastic demand b) An elastic demand c) A demand curve that is...
Given that y = sin 2 x for 0 < x < , find the exact values of the x-coordinates of the points on the curve where the gradient is 3/2.
a. Sketch the curve y = (x 1) 2 (5 2x) + 3. b. The curve y = (x 1) 2 (5 2x) + 3 has stationary points at A and B. The straight line through A and B cuts the axes at P and Q. Find the area of the...
Find the exact coordinates of the stationary point on the curve y = xe x .
If a balance sheet is prepared for Cookie Creations at June 30, what balance will be reported as cash in the current assets section? If a balance sheet were prepared, cash at June 30th, 2020 would be...
The Chicago Men's Shop made the following purchases of dress shirts: 50 shirts at $ 78.32 in January, 60 shirts at $ 41.21 in March, 75 shirts at $ 82.74 in June, and 35 shirts at $ 61.60 in August....
Prepare tax work for Wilkinson CPA s , LLC out of Manhattan, KS . Your client is Powercat Ranch, Inc. ( S - Corp, located in New Mexico, owned by 2 shareholders Terry and Sarah ) . Powercat...

a. Express log4 x in terms of log 2 x. b. Using your answer of part a,

Question:

Step by Step Answer:

a To express log4 x in terms of log2 x we can use the change ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions