What is the answer to 5^{3x+4}=10 ?

The answer to 5^{3x+4}=10 is x=(ln(2/125))/(3ln(5))

Solve for x: 5^{3x+4}=10

The solution is x=(ln(2/125))/(3ln(5))

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5^{3 x + 4} = 10

x = \frac{ln ( \frac{2}{125} )}{3 ln ( 5 )}

Decimal

x = - 0.85644 \dots

Solution steps

5^{3 x + 4} = 10

Apply exponent rules

(3 x + 4) ln (5) = ln (10)

Solve

(3 x + 4) ln (5) = ln (10) : x = \frac{ln ( \frac{2}{125} )}{3 ln ( 5 )}

x = \frac{ln ( \frac{2}{125} )}{3 ln ( 5 )}

7^{3 x + 2} = 140

4^{- 0.2 x} + 1 = 0

1 6^{(x^{2})} = 4^{6 x - 4}

1.5 = e^{k \cdot \frac{1}{2}}

e^{2 k} = 25

What is the answer to 5^{3x+4}=10 ?
The answer to 5^{3x+4}=10 is x=(ln(2/125))/(3ln(5))
Solve for x: 5^{3x+4}=10
The solution is x=(ln(2/125))/(3ln(5))