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Chapter 5: Q 95. (page 299)

Solve the equation.

log464=x

Short Answer

Expert verified

The solution to the equation, log464=xis, x=3.

Step by step solution

01

Step 1. Given Information

The given equation to be solved is log464=x.

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 log464=x.

Use rule of change from logarithm to exponents:

log464=x4x=64(4)x=(4)3 x=3

The solution to the given equationis,x=3.

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