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Chapter 5: Q. 13 (page 297)

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

7.2=2x

Short Answer

Expert verified

The equivalent logarithmic statement of the given exponential statement is x=log2(7.2)

Step by step solution

01

Step 1. Given information

An exponential equation is given as7.2=2x

02

Step 2. Formula

The exponential statementx=aycan be changed into a logarithmic function asy=loga(x)

03

Step 3. Simplification

The exponential statement is 7.2=2x.

Compare statement with x=ay.

x=7.2,a=2, andy=x

So, the corresponding logarithmic statement is

x=log2(7.2)

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