What is the answer to 6^{x-1}-2=62 ?

The answer to 6^{x-1}-2=62 is x=(6ln(2))/(ln(6))+1

Solve for x: 6^{x-1}-2=62

The solution is x=(6ln(2))/(ln(6))+1

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6^{x - 1} - 2 = 62

x = \frac{6 ln ( 2 )}{ln ( 6 )} + 1

Decimal Notation

x = 3.32111 \dots

Solution steps

6^{x - 1} - 2 = 62

Move

2

to the right side

6^{x - 1} = 64

Apply exponent rules

(x - 1) ln (6) = ln (64)

Solve

(x - 1) ln (6) = ln (64) : x = \frac{6 ln ( 2 )}{ln ( 6 )} + 1

x = \frac{6 ln ( 2 )}{ln ( 6 )} + 1

x, (1.3)^{x} = 27

20000 = 400 (4^{t})

x^{3} + 3 x^{2} - 4 x - 12 = 0

r, V = \frac{4}{3} π r^{3}

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

What is the answer to 6^{x-1}-2=62 ?
The answer to 6^{x-1}-2=62 is x=(6ln(2))/(ln(6))+1
Solve for x: 6^{x-1}-2=62
The solution is x=(6ln(2))/(ln(6))+1