What is the answer to 2^{5x-3}=6 ?

The answer to 2^{5x-3}=6 is x=(ln(48))/(5ln(2))

Solve for x: 2^{5x-3}=6

The solution is x=(ln(48))/(5ln(2))

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2^{5 x - 3} = 6

x = \frac{ln ( 48 )}{5 ln ( 2 )}

Decimal Notation

x = 1.11699 \dots

Solution steps

2^{5 x - 3} = 6

Apply exponent rules

(5 x - 3) ln (2) = ln (6)

Solve

(5 x - 3) ln (2) = ln (6) : x = \frac{ln ( 48 )}{5 ln ( 2 )}

x = \frac{ln ( 48 )}{5 ln ( 2 )}

1.0 8^{n} = 2

6 e^{6 x} = 216

2^{2 x - 3} = 32

65.33 = 16 + 5 4^{- k (5)}

2^{2 x - 3} = 16

What is the answer to 2^{5x-3}=6 ?
The answer to 2^{5x-3}=6 is x=(ln(48))/(5ln(2))
Solve for x: 2^{5x-3}=6
The solution is x=(ln(48))/(5ln(2))