What is the answer to 6^{5x-1}-2=1 ?

The answer to 6^{5x-1}-2=1 is x=(ln(18))/(5ln(6))

Solve for x: 6^{5x-1}-2=1

The solution is x=(ln(18))/(5ln(6))

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6^{5 x - 1} - 2 = 1

x = \frac{ln ( 18 )}{5 ln ( 6 )}

Decimal Notation

x = 0.32262 \dots

Solution steps

6^{5 x - 1} - 2 = 1

Move

2

to the right side

6^{5 x - 1} = 3

Apply exponent rules

(5 x - 1) ln (6) = ln (3)

Solve

(5 x - 1) ln (6) = ln (3) : x = \frac{ln ( 18 )}{5 ln ( 6 )}

x = \frac{ln ( 18 )}{5 ln ( 6 )}

1 6^{x + 4} = 6 4^{4 x - 5}

x, 4^{x} = 8^{x + 1}

x^{2} e^{- 3 x} = e^{- 3 x} (2 x + 15)

5 \cdot 2 5^{x + 1} = 12 5^{2 x}

2^{- x - 7} = 1 1^{2 x}

What is the answer to 6^{5x-1}-2=1 ?
The answer to 6^{5x-1}-2=1 is x=(ln(18))/(5ln(6))
Solve for x: 6^{5x-1}-2=1
The solution is x=(ln(18))/(5ln(6))