Question: Help me with the X (wrong answer) Evaluate the function at the indicated value of x without using a calculator. Function Value Rx) = 109X

Help me with the X (wrong answer)

Evaluate the function at the indicated value of x without using a calculator. Function Value Rx) = 109X x=7 Step 1 Substitute 7 for x in the function. 2 7 ) = 1097 7 Step 2 Notice that : 49 = 7. Rewrite without the square root symbol. 49 2 Step 3 Recall the Power Property of logarithms which states that if a is a positive number and n is a real number such that a # 1 and if u is a positive real number, then log,(un ) = n log,(u). Use this property to simplify the expression. log s(49) log ( 49 1/2) = 2 0 2 Step 4 Recall that log (a) = 1 because al = a, Simplify using this property. log.(49) _1 2 2 Therefore, A(7) = 49 1/2 X

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