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

The answer to 3^x+1=3^5 is x=(ln(242))/(ln(3))

Solve for x: 3^x+1=3^5

The solution is x=(ln(242))/(ln(3))

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3^{x} + 1 = 3^{5}

x = \frac{ln ( 242 )}{ln ( 3 )}

Solution steps

3^{x} + 1 = 3^{5}

Move

1

to the right side

3^{x} = 3^{5} - 1

Simplify

3^{x} = 242

Apply exponent rules

x ln (3) = ln (242)

Solve

x ln (3) = ln (242) : x = \frac{ln ( 242 )}{ln ( 3 )}

x = \frac{ln ( 242 )}{ln ( 3 )}

3^{x^{2} + x} = 9

e^{(l n (0.1)) t} = 0.9

5^{x^{2} - 3 x} = 625

t, 2^{t} = \frac{1}{16}

e^{x + 1} - 1 = 0

What is the answer to 3^x+1=3^5 ?
The answer to 3^x+1=3^5 is x=(ln(242))/(ln(3))
Solve for x: 3^x+1=3^5
The solution is x=(ln(242))/(ln(3))