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Chapter 5: Q. 16 (page 297)

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

e2.2=M

Short Answer

Expert verified

The equivalent logarithmic statement of the given exponential statement is2.2=logeM.

Step by step solution

01

Step 1. Given information

An exponential equation is given ase2.2=M

02

Step 2. Formula

The exponential statemente2.2=Mcan be changed into a logarithmic function as y=logax.

03

Step 3. Simplification

The exponential statement is e2.2=MCompare statement with ay=x

x=M,a=e, and y=2.2

So, the corresponding logarithmic statement is

2.2=loge(M)

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