What is the answer to 5^x+2=625 ?

The answer to 5^x+2=625 is x=(ln(623))/(ln(5))

Solve for x: 5^x+2=625

The solution is x=(ln(623))/(ln(5))

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5^{x} + 2 = 625

x = \frac{ln ( 623 )}{ln ( 5 )}

Decimal Notation

x = 3.99800 \dots

Solution steps

5^{x} + 2 = 625

Move

2

to the right side

5^{x} = 623

Apply exponent rules

x ln (5) = ln (623)

Solve

x ln (5) = ln (623) : x = \frac{ln ( 623 )}{ln ( 5 )}

x = \frac{ln ( 623 )}{ln ( 5 )}

(\frac{1}{4})^{2 x - 2} = 256

1 6^{x} + 2 0^{x} = 2 0^{x}

(2^{2})^{m} - (2^{2})^{n} = 240

x^{x} = 2^{2084}

5^{x} - 24 = \frac{5 ^{2}}{5} x

What is the answer to 5^x+2=625 ?
The answer to 5^x+2=625 is x=(ln(623))/(ln(5))
Solve for x: 5^x+2=625
The solution is x=(ln(623))/(ln(5))