Question

15. Which best reflects a correct conversion of an equation in exponential form to logarithmic form?

Answer 1

`5^x = 25`

`\log_525 = x`

Explanation:

Given

Convert from exponential to logarithm

(a) to (d)

Required

Which of the options is correct

Given that:

`a^b = c` --- Exponential

The logarithm form is:

`b = \log_ac`

From (a) to (d), only option (c) is correct.

Because it follows the above pattern

i.e.

`5^x = 25`
`\to`
`\to`
`a^b = c`

`a = 5`
`b = x`
`c = 25`

`b = \log_ac` becomes

`x = \log_525`

or

`\log_525 = x`