What is the answer to 2^{3x-4}=14 ?

The answer to 2^{3x-4}=14 is x=(ln(224))/(3ln(2))

Solve for x: 2^{3x-4}=14

The solution is x=(ln(224))/(3ln(2))

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2^{3 x - 4} = 14

x = \frac{ln ( 224 )}{3 ln ( 2 )}

Decimal Notation

x = 2.60245 \dots

Solution steps

2^{3 x - 4} = 14

Apply exponent rules

(3 x - 4) ln (2) = ln (14)

Solve

(3 x - 4) ln (2) = ln (14) : x = \frac{ln ( 224 )}{3 ln ( 2 )}

x = \frac{ln ( 224 )}{3 ln ( 2 )}

4^{2 x + 1} = 64

5^{3 x^{2}} = \frac{1}{2 5 ^{5 x + 2}}

4^{x} - 12 \cdot 2^{x} + 32 = 0

2^{3 x + 1} = 32

e^{x} = 0.5

What is the answer to 2^{3x-4}=14 ?
The answer to 2^{3x-4}=14 is x=(ln(224))/(3ln(2))
Solve for x: 2^{3x-4}=14
The solution is x=(ln(224))/(3ln(2))