What is the answer to 4^{2x-6}=48 ?

The answer to 4^{2x-6}=48 is x=(ln(48)+12ln(2))/(4ln(2))

Solve for x: 4^{2x-6}=48

The solution is x=(ln(48)+12ln(2))/(4ln(2))

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4^{2 x - 6} = 48

x = \frac{ln ( 48 ) + 12 ln ( 2 )}{4 ln ( 2 )}

Decimal Notation

x = 4.39624 \dots

Solution steps

4^{2 x - 6} = 48

Apply exponent rules

(2 x - 6) ln (4) = ln (48)

Solve

(2 x - 6) ln (4) = ln (48) : x = \frac{ln ( 48 ) + 12 ln ( 2 )}{4 ln ( 2 )}

x = \frac{ln ( 48 ) + 12 ln ( 2 )}{4 ln ( 2 )}

432 = 2^{4} \cdot 3^{x}

12 = 650 (0.5)^{\frac{x}{2}}

2 7^{3} x - 1 = \frac{1}{8 1 ^{x}}

e^{- 2 l n (x)} = 0

9^{x} - 3^{x} = 3

What is the answer to 4^{2x-6}=48 ?
The answer to 4^{2x-6}=48 is x=(ln(48)+12ln(2))/(4ln(2))
Solve for x: 4^{2x-6}=48
The solution is x=(ln(48)+12ln(2))/(4ln(2))