Question

How do i solve 4^x=32?​

Answer 1

Answer:

x = 2.5

Step-by-step explanation:

Using the rule of exponents

$(a^m)^{n}$ = $a^{mn}$

Note that 4 = 2² and 32 = $2^{5}$, then

$(2^2)^{x}$ = $2^{5}$, that is

$2^{2x}$ = $2^{5}$

Since the bases on both sides are equal, equate the exponents

2x = 5 ( divide both sides by 2 )

x = 2.5

Answer 2

Answer:

x = 2.5

Step-by-step explanation:

4^2.5 = 32