Question

What is the solution to the equation below? Round your answer to two decimal places. log2 X= 1.7 A. x= 8.35 O x B. x= 13.60 O C. x = 10.56 = O D. X = 9.41

Answer 1

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given logarithmic expression

$\log_4x=1.7$

STEP 2: Find the value of x

State the rule of logarithm that applies

$if\text{ }\log_ab=c,b=a^c$

Apply the rule

$\begin{gathered} \log_4x=1.7 \\ \therefore4^{1.7}=x \\ by\text{ simplification,} \\ 10.55606329=x \\ x\approx10.56 \end{gathered}$

Hence, the value of x is approximately 10.56