What is the answer to 29^{9x-4}=125 ?

The answer to 29^{9x-4}=125 is x=(3ln(5)+4ln(29))/(9ln(29))

Solve for x: 29^{9x-4}=125

The solution is x=(3ln(5)+4ln(29))/(9ln(29))

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2 9^{9 x - 4} = 125

x = \frac{3 ln ( 5 ) + 4 ln ( 29 )}{9 ln ( 29 )}

Decimal Notation

x = 0.60376 \dots

Solution steps

2 9^{9 x - 4} = 125

Apply exponent rules

(9 x - 4) ln (29) = ln (125)

Solve

(9 x - 4) ln (29) = ln (125) : x = \frac{3 ln ( 5 ) + 4 ln ( 29 )}{9 ln ( 29 )}

x = \frac{3 ln ( 5 ) + 4 ln ( 29 )}{9 ln ( 29 )}

t, N = a e^{- 0.21 \cdot t}

21 6^{- 3 x} = 36

5^{6 - x} = 1

50 e^{- 0.12 t} = 10

6^{x} = e^{x + 8}

What is the answer to 29^{9x-4}=125 ?
The answer to 29^{9x-4}=125 is x=(3ln(5)+4ln(29))/(9ln(29))
Solve for x: 29^{9x-4}=125
The solution is x=(3ln(5)+4ln(29))/(9ln(29))