Question: Determine the value of x. log 4 (sin x) = 0.5

Determine the value of x.

log4 (sin x) = −0.5

Step by Step Solution

★★★★★

3.34 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

We can start by using the definition of logarithms which states that if log base b of ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Basic Technical Mathematics Questions!

Q:

Determine the value of x in each of the following. (a) log10 2 + log10 5 = log10 x (b) log4 3 + log4 x = log4 7 - log4 5

Q:

The functions cos x and sin x are both unit vectors in C[-Ï, Ï] with inner product defined by (a) Show that cos x ¥ sin x. (b) Determine the value of ||cos x + sin x||2. = | f(x)g(x)dx

Q:

Write a MATLAB program to determine the value of sin x for values of x such that 0

Q:

1. Let f(x) = 2e 6x. (a) Find all points on the graph of at which the tangent line is horizontal. (b) Find all points on the graph of at which the tangent line has slope 12. 2. Suppose f(3) = 1 and...

Q:

1. Let f(x) = 2e 6x. (a) Find all points on the graph of at which the tangent line is horizontal. (b) Find all points on the graph of at which the tangent line has slope 12. 2. Suppose f(3) = 1 and...

Q:

Pre-Laboratory Assignment: Determination of K, for a Complex lon Formation Name Section A student mixes 5.0 mL of 0.00200 M Fe(NOs) with 5.0 ml. 0.00200 KSCN. She finds that the concentration of...

Q:

For the following reactions, determine the value of x. (a)| 4 C+ Sg 4 CS 3.2 mol Sg yields x mol CS (b) CS+3 0 CO + 2 SO 1.8 mol CS yields x mol SO (c) NH4 + 3 O 2 NO + 2 HO 7.3 mol O yields x mol...

Q:

4. Problem #4: Suppose Alice has obtained a loan of $13,372 today from the bank and that the loan quotes a nominal annual [4 marks] interest rate of 5% compounded monthly. Alice plans to repay the...

Q:

Exercise Set 6.1: Sum and Difference Formulas Simplify each of the following expressions. 1. sin ( x ) 2. 3 cos x + 2 3. cos x 2 4. sin ( + x ) 5. sin 60 + sin 60 + 6. cos 60 + cos 60 + 7. cos x +...

Q:

Need answers on these asap :) Unit 4: Trigonometry and Exponential Functions Test K/U Comm Think App Name: 15 12 /11 /12 Part 1: Knowledge / Understanding [15 marks] Identify the choice that best...

Q:

Pania Biddle owns 500 shares in Mainfreight Ltd (MFT), a company listed on the New Zealand Stock Exchange (NZX). MFT keeps an imputation credit account as required under tax law. On 1 June 2020, MFT...

Q:

Theres a fundamental difference between rules one, two, and four for qualifying as an operating lease and rule three. What is it?

Q:

A company has net sales of $ 3 7 6 , 8 0 0 and its gross profit is $ 1 5 8 , 3 0 0 . Its cost of grods sold is: Multiple Choice $ 1 9 7 , 8 0 0 . $ 3 7 6 , 8 0 0 $ 1 5 8 , 3 0 0 . $ 2 1 8 , 5 0 0 .

Q:

You hold 20,000 shares in ABC plc which are currently priced at 500p. ABC has developed a revolutionary flying machine. If trials prove successful the share price will rise significantly. If the...

Q:

List the intercepts of the graph below. 2. -2 4.

Q:

Find the center and radius of the circle x 2 + y 2 + 4x 2y 4 = 0. Graph this circle.

Q:

The lines y = 2x 1 and y = ax + 2 are perpendicular if a =.

Q:

In recent years, Sheridan Corporation has purchased three machines. Because of frequent employee turnover in the accounting department, a different accountant was in charge of selecting the...

Q:

Cane Company manufactures two products called Alpha and Beta that sell for $ 1 2 0 and $ 8 0 , respectively. Each product uses only one type of raw material that costs $ 6 per pound. The company has...

Q:

eBook Problem 13-12 Mike Smith, CFA, an analyst with Blue River Investments, is considering buying a Montrose Cable Company corporate bond. He has collected the balance sheet and income statement...