What is the answer to 2=3^x-5 ?

The answer to 2=3^x-5 is x=(ln(7))/(ln(3))

The solution is x=(ln(7))/(ln(3))

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2=3^x-5

2 = 3^{x} - 5

x = \frac{ln ( 7 )}{ln ( 3 )}

Decimal Notation

x = 1.77124 \dots

Solution steps

2 = 3^{x} - 5

Switch sides

3^{x} - 5 = 2

Move

5

to the right side

3^{x} = 7

Apply exponent rules

x ln (3) = ln (7)

Solve

x ln (3) = ln (7) : x = \frac{ln ( 7 )}{ln ( 3 )}

x = \frac{ln ( 7 )}{ln ( 3 )}

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

lo g_{5} (2 5^{3 x}) = 10

(4^{5 x + 1}) = 16

i, \frac{n}{2 ^{i}} = 1

x, y - 3 = 4 (5^{2 x + 1})