What is the answer to log_{3}(30^x-9)=0 ?

The answer to log_{3}(30^x-9)=0 is x=(ln(10))/(ln(30))

Solve for x: log_{3}(30^x-9)=0

The solution is x=(ln(10))/(ln(30))

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lo g_{3} (3 0^{x} - 9) = 0

x = \frac{ln ( 10 )}{ln ( 30 )}

Decimal Notation

x = 0.67699 \dots

Solution steps

lo g_{3} (3 0^{x} - 9) = 0

Apply log rules

3 0^{x} - 9 = 1

Solve

3 0^{x} - 9 = 1 : x = \frac{ln ( 10 )}{ln ( 30 )}

x = \frac{ln ( 10 )}{ln ( 30 )}

x, 2 ln (x + 1) = - 2

2 lo g_{m} (8) + 3 lo g_{8} (m) = 7

y, ln (y) = 1

ln (x + 3) + ln (x - 1) = ln (4 x + 12)

lo g_{10} (x) = 5.833

What is the answer to log_{3}(30^x-9)=0 ?
The answer to log_{3}(30^x-9)=0 is x=(ln(10))/(ln(30))
Solve for x: log_{3}(30^x-9)=0
The solution is x=(ln(10))/(ln(30))