What is the answer to 3*5^{x+1}-1=11 ?

The answer to 3*5^{x+1}-1=11 is x=(2ln(2))/(ln(5))-1

Solve for x: 3*5^{x+1}-1=11

The solution is x=(2ln(2))/(ln(5))-1

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3 \cdot 5^{x + 1} - 1 = 11

x = \frac{2 ln ( 2 )}{ln ( 5 )} - 1

Decimal Notation

x = - 0.13864 \dots

Solution steps

3 \cdot 5^{x + 1} - 1 = 11

Move

1

to the right side

3 \cdot 5^{x + 1} = 12

Divide both sides by

3

5^{x + 1} = 4

Apply exponent rules

(x + 1) ln (5) = ln (4)

Solve

(x + 1) ln (5) = ln (4) : x = \frac{2 ln ( 2 )}{ln ( 5 )} - 1

x = \frac{2 ln ( 2 )}{ln ( 5 )} - 1

x, 2^{2 x} - 4^{x - 1} = 12

3^{2 x} - 3^{x + 2} + 8 = 0

e^{- 2 t} - 4 \cdot e^{- t} + 4 = 0

4^{- 3 v} = 64

3^{2 x + 1} + 3^{x} - 2 = 0

What is the answer to 3*5^{x+1}-1=11 ?
The answer to 3*5^{x+1}-1=11 is x=(2ln(2))/(ln(5))-1
Solve for x: 3*5^{x+1}-1=11
The solution is x=(2ln(2))/(ln(5))-1