What is the answer to 3^{5x}=34 ?

The answer to 3^{5x}=34 is x=(ln(34))/(5ln(3))

Solve for x: 3^{5x}=34

The solution is x=(ln(34))/(5ln(3))

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3^{5 x} = 34

x = \frac{ln ( 34 )}{5 ln ( 3 )}

Decimal Notation

x = 0.64196 \dots

Solution steps

3^{5 x} = 34

Apply exponent rules

5 x ln (3) = ln (34)

Solve

5 x ln (3) = ln (34) : x = \frac{ln ( 34 )}{5 ln ( 3 )}

x = \frac{ln ( 34 )}{5 ln ( 3 )}

2 e^{x} (x - 1) + 1 = 0

5^{5} = 312 5^{3 x + 1}

2^{2 x} - 5 \times 2^{x} + 4 = 0

4^{3 x} + 8^{2 x + 1} = 1 6^{x}

e^{6 x} = 0

What is the answer to 3^{5x}=34 ?
The answer to 3^{5x}=34 is x=(ln(34))/(5ln(3))
Solve for x: 3^{5x}=34
The solution is x=(ln(34))/(5ln(3))