What is the answer to 3^x*5^{x-1}=10125 ?

The answer to 3^x*5^{x-1}=10125 is x=(ln(10125)+ln(5))/(ln(15))

Solve for x: 3^x*5^{x-1}=10125

The solution is x=(ln(10125)+ln(5))/(ln(15))

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3^{x} \cdot 5^{x - 1} = 10125

x = \frac{ln ( 10125 ) + ln ( 5 )}{ln ( 15 )}

Solution steps

3^{x} \cdot 5^{x - 1} = 10125

Apply exponent rules

(x - 1 + 1 + lo g_{3} (5) (x - 1)) ln (3) = ln (10125)

Solve

(x - 1 + 1 + lo g_{3} (5) (x - 1)) ln (3) = ln (10125) : x = \frac{ln ( 10125 ) + ln ( 5 )}{ln ( 15 )}

x = \frac{ln ( 10125 ) + ln ( 5 )}{ln ( 15 )}

4 e^{3 x - 2} = 244

3^{3 x} = 3^{2 x - 4}

8^{x} = 5

2^{x + 1} = 9

3 \cdot 2^{x} = 24

What is the answer to 3^x*5^{x-1}=10125 ?
The answer to 3^x*5^{x-1}=10125 is x=(ln(10125)+ln(5))/(ln(15))
Solve for x: 3^x*5^{x-1}=10125
The solution is x=(ln(10125)+ln(5))/(ln(15))