What is the answer to 2^{5x-3}=14 ?

The answer to 2^{5x-3}=14 is x=(ln(112))/(5ln(2))

Solve for x: 2^{5x-3}=14

The solution is x=(ln(112))/(5ln(2))

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2^{5 x - 3} = 14

x = \frac{ln ( 112 )}{5 ln ( 2 )}

Decimal Notation

x = 1.36147 \dots

Solution steps

2^{5 x - 3} = 14

Apply exponent rules

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

Solve

(5 x - 3) ln (2) = ln (14) : x = \frac{ln ( 112 )}{5 ln ( 2 )}

x = \frac{ln ( 112 )}{5 ln ( 2 )}

5^{x - 1} = (\frac{1}{25})^{x}

9^{x} = 2 7^{x + 1}

2^{x^{2} - 3} = 4^{x}

2 x + 1 = 2^{x}

d, c = b a^{d}

What is the answer to 2^{5x-3}=14 ?
The answer to 2^{5x-3}=14 is x=(ln(112))/(5ln(2))
Solve for x: 2^{5x-3}=14
The solution is x=(ln(112))/(5ln(2))