What is the answer to 10^{5x+1}=6^x ?

The answer to 10^{5x+1}=6^x is x=-(ln(10))/(ln(50000/3))

Solve for x: 10^{5x+1}=6^x

The solution is x=-(ln(10))/(ln(50000/3))

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1 0^{5 x + 1} = 6^{x}

x = - \frac{ln ( 10 )}{ln ( \frac{50000}{3} )}

Solution steps

1 0^{5 x + 1} = 6^{x}

Apply exponent rules

(5 x + 1) ln (10) = x ln (6)

Solve

(5 x + 1) ln (10) = x ln (6) : x = - \frac{ln ( 10 )}{ln ( \frac{50000}{3} )}

x = - \frac{ln ( 10 )}{ln ( \frac{50000}{3} )}

2^{3 x} = 34

\frac{8 ^{x}}{4 ^{x + 1}} = 32

e^{x} x = 1

15 (3)^{2 x} = 90

1 3^{\frac{1}{x} + 3} - 1 = 0

What is the answer to 10^{5x+1}=6^x ?
The answer to 10^{5x+1}=6^x is x=-(ln(10))/(ln(50000/3))
Solve for x: 10^{5x+1}=6^x
The solution is x=-(ln(10))/(ln(50000/3))