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Chapter 10: Q. 327 (page 1055)

In the following exercises, solve each equation.

loga81=4.

Short Answer

Expert verified

The solution isa=3.

Step by step solution

01

Step 1 Given equation is,

loga81=4.

The objective is, we need to find the solution for the given equation.

The standard form of the exponential equation is,x=ay.

02

Step 2 Convert the given equation into an exponential form.

Here, y=4,x=81.

So,81=a4.

Now simplify it.

a4=34a=3.

03

Step 3 Let us check the answer.

Substitute a=3into the equation.

log381=4log334=44=4

which is true.

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