Is f(x)=3x5^2x-3 an exponential function? If so, write it in the form f(x)=ab^x

The expression in exponential form is expressed as . Option C is correct.

Given the equation , we are to write in the form

Simplifying the given expression, we will have:

Hence the expression in exponential form is expressed as

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Step-by-step explanation:

Given

Required

To determine if it is an exponential function, we have to write in form of

If we're able to do so, then the function is an exponential function.

If otherwise, then it is not

Apply Law of indices

Express 5^3 as 125

Factorize the exponent of 5

Express 5^2 as 25

This can be rewritten as:

By comparing the above to

We have that

Since, we've be able to express the function as

Then, is an exponential function

you need a common difference between consecutive terms to be constant, like 1,2,3,4 or 2,4,6,8, or 1,3,6,9