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Chapter 10: Q. 437 (page 1065)

In the following exercises, solve each exponential equation. Find the exact answer and then approximate it to three decimal places

2x=101

Short Answer

Expert verified

The approximate value of x for the equation2x=101is6.658

Step by step solution

01

Step 1. Given data 

The given Logarithmic Equation is2x=101

02

Step 2. Use logarithms

Take logarithms to both sides of the equation

2x=101log2x=log101

03

Step 3. Apply power property of logarithm

Use power property of logarithm

log2x=log101xlog2=log101

04

Step 4. Value of x

Solve the equation for x

xlog2=log101x=log101log2x鈮�6.658

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