What is the answer to 4^{3x-5}=5 ?

The answer to 4^{3x-5}=5 is x=(ln(5120))/(6ln(2))

Solve for x: 4^{3x-5}=5

The solution is x=(ln(5120))/(6ln(2))

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4^{3 x - 5} = 5

x = \frac{ln ( 5120 )}{6 ln ( 2 )}

Decimal Notation

x = 2.05365 \dots

Solution steps

4^{3 x - 5} = 5

Apply exponent rules

(3 x - 5) ln (4) = ln (5)

Solve

(3 x - 5) ln (4) = ln (5) : x = \frac{ln ( 5120 )}{6 ln ( 2 )}

x = \frac{ln ( 5120 )}{6 ln ( 2 )}

2^{x - 5} = 16

4 \cdot 2^{2 t} - 10 \cdot 6^{t} \cdot 3^{2 t} = 0

64 \cdot 1 6^{- 3 x} = 1 6^{- 3 x - 2}

4^{X + 1} - 3 \cdot 2^{X + 1} = 0

What is the answer to 4^{3x-5}=5 ?
The answer to 4^{3x-5}=5 is x=(ln(5120))/(6ln(2))
Solve for x: 4^{3x-5}=5
The solution is x=(ln(5120))/(6ln(2))