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Chapter 5: Q 105. (page 299)

Solve the equation.

log28x=-3

Short Answer

Expert verified

The solution to the equation, log28x=-3is, x=-1.

Step by step solution

01

Step 1. Given Information

The given equation to be solved is log28x=-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 log28x=-3.

Use rule of change from logarithm to exponents:

log28x=-32-3=8x23x=(2)-3(2)3x=(2)-33x=-3x=-1

The solution to the given equationis,x=-1.

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