What is the answer to 5^{3x-1}=49 ?

The answer to 5^{3x-1}=49 is x=(ln(245))/(3ln(5))

Solve for x: 5^{3x-1}=49

The solution is x=(ln(245))/(3ln(5))

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5^{3 x - 1} = 49

x = \frac{ln ( 245 )}{3 ln ( 5 )}

Decimal Notation

x = 1.13937 \dots

Solution steps

5^{3 x - 1} = 49

Apply exponent rules

(3 x - 1) ln (5) = ln (49)

Solve

(3 x - 1) ln (5) = ln (49) : x = \frac{ln ( 245 )}{3 ln ( 5 )}

x = \frac{ln ( 245 )}{3 ln ( 5 )}

1 0^{\frac{4}{x}} = 6

5^{x^{2} + 8} = 12 5^{2 x}

3^{2 x} = 9^{3 - x}

5^{x - 1} = 25

w, x^{72} + x^{w} = x^{8}

What is the answer to 5^{3x-1}=49 ?
The answer to 5^{3x-1}=49 is x=(ln(245))/(3ln(5))
Solve for x: 5^{3x-1}=49
The solution is x=(ln(245))/(3ln(5))