What is the answer to 5^x-1=3 ?

The answer to 5^x-1=3 is x=(2ln(2))/(ln(5))

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

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5^x-1=3

5^{x} - 1 = 3

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

Decimal Notation

x = 0.86135 \dots

Solution steps

5^{x} - 1 = 3

Move

1

to the right side

5^{x} = 4

Apply exponent rules

x ln (5) = ln (4)

Solve

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

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

2.5 \cdot e^{40 x} = 5

(((5^{5})^{x})^{+})^{2} = 25

8^{x + 7} = 9^{x}

(x - 3)^{2 x - 1} = (x - 3)^{x + 1}

1 0^{c} = 10000000