Question

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

Answer 1

Answer:

$5^x = 25$

$\log_525 = x$

Step-by-step 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

$\log_525 = x$