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Chapter 5: Q. 15 (page 297)

Change the given exponential statement to an equivalent statement involving a logarithm.

ex=8

Short Answer

Expert verified

The equivalent logarithmic statement of the given exponential statement isx=loge8

Step by step solution

01

Step 1. Given information

An exponential equation is given asex=8.

02

Step 2. Formula

The exponential statement x=aycan be changed into a logarithmic function as y=loga(x).

03

Step 3. Simplification

The exponential statement is ex=8.

Compare statement with x=ay.

x=8,a=e, andy=x

So, the corresponding logarithmic statement is

x=loge(8)

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