Question

SOLVE FOR X BEST ANSWER GETS BRAINLIEST AND 30 POINTS :))

Answer 1

Answer:

a) x = 2 b) x = 2 c) x = 1/4^3

Step-by-step explanation:

a) 32 = 2 power 5

So,

log2 32 = 5

as 2^5 = 32

b)25 = 5^2

So,

log5 25 = 2

c)4^-3 = 1/4^3 ( as -3 is negative exponent )

So,

log4 1/4^3 = -3

Answer 2

Answer:

a)

$= > log_{x}(32) = 5 \\ = > log_{b}(x) = y \\ = > b {}^{y} = x \\ = > x {}^{5} = 32 \\ = > x = \sqrt[5]{32} \\ = > x=2$

b)

$= > log_{5}(25) = x \\ = > 5 {}^{x} = 25 \\ = > 5 {}^{x} = 5 {}^{2} \\ = > x = 2$

C)

$= > log_{4}(x) = - 3 \\ = > 4 {}^{ - 3} = x \\ = > 1 \div 4 {}^{3} = x \\ = > 1 \div 64 = x \\ = > x =0.015625$