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

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

Solve for x: 5^{5x+2}=15

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

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5^{5 x + 2} = 15

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

Decimal Notation

x = - 0.06347 \dots

Solution steps

5^{5 x + 2} = 15

Apply exponent rules

(5 x + 2) ln (5) = ln (15)

Solve

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

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

e^{4 - 4 x} = 3

e^{x} = \frac{5}{2}

\frac{e ^{x} + e ^{- x}}{e ^{x} + 1} = 4

4 e^{2 x} - e^{x} = 0

70 \cdot 2^{3 x} = 35

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