What is the answer to 3^{5x-2}=15 ?

The answer to 3^{5x-2}=15 is x=(ln(135))/(5ln(3))

Solve for x: 3^{5x-2}=15

The solution is x=(ln(135))/(5ln(3))

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3^{5 x - 2} = 15

x = \frac{ln ( 135 )}{5 ln ( 3 )}

Decimal Notation

x = 0.89299 \dots

Solution steps

3^{5 x - 2} = 15

Apply exponent rules

(5 x - 2) ln (3) = ln (15)

Solve

(5 x - 2) ln (3) = ln (15) : x = \frac{ln ( 135 )}{5 ln ( 3 )}

x = \frac{ln ( 135 )}{5 ln ( 3 )}

5 (2 5^{x}) - 26 (5^{x}) + 5 = 0

2 (10)^{x} + (10)^{x + 1} = 4

e^{3 + 2 x} = 58

1 6^{x} + 1 6^{1 - x} - 10 = 0

x^{x} = 2^{16}

What is the answer to 3^{5x-2}=15 ?
The answer to 3^{5x-2}=15 is x=(ln(135))/(5ln(3))
Solve for x: 3^{5x-2}=15
The solution is x=(ln(135))/(5ln(3))