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2 years ago

Explain how to solve 5^(x − 2) = 8 using the change of base formula log base b of y equals log y over log b.

Mathematics

1 answer:

Ray Of Light [21]2 years ago

3 0

Answer:

x = 3.3

Step-by-step explanation:

A equation is given to us and we need to solve out for x. The given equation is ,

Take log on both sides with base as " 10" . We have ,

Simplify using the property of log , , we have ,

Simplify ,

Again simplify using the property of log ,

We know that log 5 = 0.69 and log 2 = 0.301 , on substituting this , we have ,

Simplify the RHS ,

Add 2 both sides ,

Hence the Value of x is 3.30 .

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2 years ago

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