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Chapter 5: Q 89. (page 299)

Solve the equation.

log2(2x+1)=3

Short Answer

Expert verified

The solution to the equation, log2(2x+1)=3is, x=3.5.

Step by step solution

01

Step 1. Given Information

The given equation to be solved is log2(2x+1)=3.

02

Step 2. Formula used

Rule of change from logarithm to exponents:

logab=y鈬�ay=b

03

Step 3. Finding Solution

The given equation is log2(2x+1)=3.

Use rule of change from logarithm to exponents:

log2(2x+1)=32x+1=232x=8-1x=72x=3.5

The solution to the given equationis,x=3.5.

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