What is the answer to 5^{x+1}=70 ?

The answer to 5^{x+1}=70 is x=(ln(70))/(ln(5))-1

Solve for x: 5^{x+1}=70

The solution is x=(ln(70))/(ln(5))-1

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5^{x + 1} = 70

x = \frac{ln ( 70 )}{ln ( 5 )} - 1

Decimal Notation

x = 1.63973 \dots

Solution steps

5^{x + 1} = 70

Apply exponent rules

(x + 1) ln (5) = ln (70)

Solve

(x + 1) ln (5) = ln (70) : x = \frac{ln ( 70 )}{ln ( 5 )} - 1

x = \frac{ln ( 70 )}{ln ( 5 )} - 1

2^{x} + 4^{x} = 72

e^{x} - x e^{x} = 0

1 0^{x} + 1 0^{x + 1} = 22

e^{x} = x^{3}

\frac{16 e ^{x}}{3 e ^{x} + 6} = 2

What is the answer to 5^{x+1}=70 ?
The answer to 5^{x+1}=70 is x=(ln(70))/(ln(5))-1
Solve for x: 5^{x+1}=70
The solution is x=(ln(70))/(ln(5))-1