Question

Solve 4x+2=12 for using the change of base formula logby=logy over logb

Answer 1

log₄ 10 = log₁₀ 10 / log₁₀ 4

Explanation:

Taking the x to be a power then;

`4^x +2 =12`

`4^x = 12-2`

`4^x=10`

Introduce log on both sides

x log 4= log 10

x= log 10/log 4

log₄ 10 = log₁₀ 10 / log₁₀ 4

Answer 2

Answer: x = log₄(3/4) = -0.207

Explanation:

when you have the equation:

n^x = b

whe have that:

Logₙ(b) = x

in this case we have the equation:

4^(x+2) = 12

(4^x)*(4^2) = 12

16*4^x = 12

4^x = 12/16 = 3/4

x = log₄(3/4) = -0.207