What is the answer to 2^{5x}=94 ?

The answer to 2^{5x}=94 is x=(ln(94))/(5ln(2))

Solve for x: 2^{5x}=94

The solution is x=(ln(94))/(5ln(2))

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2^{5 x} = 94

x = \frac{ln ( 94 )}{5 ln ( 2 )}

Decimal Notation

x = 1.31091 \dots

Solution steps

2^{5 x} = 94

Apply exponent rules

5 x ln (2) = ln (94)

Solve

5 x ln (2) = ln (94) : x = \frac{ln ( 94 )}{5 ln ( 2 )}

x = \frac{ln ( 94 )}{5 ln ( 2 )}

\frac{1}{8} = 8^{x}

e^{x} - 5 e^{- x} = 4

3 6^{- 3} = 21 6^{2 x + 2}

2^{2 x} = 1

2^{x + 3} = 256

What is the answer to 2^{5x}=94 ?
The answer to 2^{5x}=94 is x=(ln(94))/(5ln(2))
Solve for x: 2^{5x}=94
The solution is x=(ln(94))/(5ln(2))