What is the answer to 5^x-4=5^{10} ?

The answer to 5^x-4=5^{10} is x=(ln(9765629))/(ln(5))

Solve for x: 5^x-4=5^{10}

The solution is x=(ln(9765629))/(ln(5))

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5^{x} - 4 = 5^{10}

x = \frac{ln ( 9765629 )}{ln ( 5 )}

Decimal Notation

x = 10.00000 \dots

Solution steps

5^{x} - 4 = 5^{10}

Move

4

to the right side

5^{x} = 5^{10} + 4

Simplify

5^{x} = 9765629

Apply exponent rules

x ln (5) = ln (9765629)

Solve

x ln (5) = ln (9765629) : x = \frac{ln ( 9765629 )}{ln ( 5 )}

x = \frac{ln ( 9765629 )}{ln ( 5 )}

8 e^{x + 2} = 4

16 \cdot 4^{x + 2} - 16 \cdot 2^{x + 1} + 1 = 0

1 1^{- 6 y} = 6

5^{x} + 5^{x + 1} = 150

x, d^{3} + y = e^{- x} + 1

What is the answer to 5^x-4=5^{10} ?
The answer to 5^x-4=5^{10} is x=(ln(9765629))/(ln(5))
Solve for x: 5^x-4=5^{10}
The solution is x=(ln(9765629))/(ln(5))