Question

Which equation is equivalent to a=b^x?

Answer 1

Answer: A and B in algebra stand for any variables of real numbers. A real number is a value of a continuous quantity that can represent a distance along a

Explanation:

Answer 2

`\textsf{B)} \quad \log_ba=x`

Explanation:

Given:

`a=b^x`

Take log of base b of both sides:

`\implies \log_ba=\log_bb^x`

Apply the log power law:
`\log_ax^n=n\log_ax`

`\implies \log_ba=x\log_bb`

Apply log identity:
`\log_nn=1`

`\implies \log_ba=x`