What is the answer to 5^{3x}=29 ?

The answer to 5^{3x}=29 is x=(ln(29))/(3ln(5))

Solve for x: 5^{3x}=29

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

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5^{3 x} = 29

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

Decimal Notation

x = 0.69740 \dots

Solution steps

5^{3 x} = 29

Apply exponent rules

3 x ln (5) = ln (29)

Solve

3 x ln (5) = ln (29) : x = \frac{ln ( 29 )}{3 ln ( 5 )}

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

3 2^{x} = 64

1 6^{x + 10} = 24

2^{- 100 x} = (0.5)^{x - 4}

12 5^{x} = 5

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

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