What is the answer to 2.5^x+4=1254 ?

The answer to 2.5^x+4=1254 is x=(ln(1250))/(ln(2.5))

Solve for x: 2.5^x+4=1254

The solution is x=(ln(1250))/(ln(2.5))

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2. 5^{x} + 4 = 1254

x = \frac{ln ( 1250 )}{ln ( 2.5 )}

Decimal Notation

x = 7.78235 \dots

Solution steps

2. 5^{x} + 4 = 1254

Move

4

to the right side

2. 5^{x} = 1250

Apply exponent rules

x ln (2.5) = ln (1250)

Solve

x ln (2.5) = ln (1250) : x = \frac{ln ( 1250 )}{ln ( 2.5 )}

x = \frac{ln ( 1250 )}{ln ( 2.5 )}

2^{x} - 2 \cdot 4^{x} = 0

e^{- 4 x} = 0

291 6^{x} = 54

3^{x} + 3^{x + 2} = 81

1 0^{x} = 12

What is the answer to 2.5^x+4=1254 ?
The answer to 2.5^x+4=1254 is x=(ln(1250))/(ln(2.5))
Solve for x: 2.5^x+4=1254
The solution is x=(ln(1250))/(ln(2.5))