What is the answer to 3^{5x}=85 ?

The answer to 3^{5x}=85 is x=(ln(85))/(5ln(3))

Solve for x: 3^{5x}=85

The solution is x=(ln(85))/(5ln(3))

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3^{5 x} = 85

x = \frac{ln ( 85 )}{5 ln ( 3 )}

Decimal Notation

x = 0.80877 \dots

Solution steps

3^{5 x} = 85

Apply exponent rules

5 x ln (3) = ln (85)

Solve

5 x ln (3) = ln (85) : x = \frac{ln ( 85 )}{5 ln ( 3 )}

x = \frac{ln ( 85 )}{5 ln ( 3 )}

6 - 3 \cdot 5^{x} = 2

y, b x^{y} = x^{a - y}

343 = 7^{x}

7^{x - 3} + 7^{x - 2} + 7^{x - 1} = 57

5^{x - 1} = 5^{3 x - 11}

What is the answer to 3^{5x}=85 ?
The answer to 3^{5x}=85 is x=(ln(85))/(5ln(3))
Solve for x: 3^{5x}=85
The solution is x=(ln(85))/(5ln(3))