What is the answer to 5^{2x+4}-25^{x-1}=78120 ?

The answer to 5^{2x+4}-25^{x-1}=78120 is x= 3/2

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5^{2x+4}-25^{x-1}=78120

5^{2 x + 4} - 2 5^{x - 1} = 78120

x = \frac{3}{2}

Decimal Notation

x = 1.5

Solution steps

5^{2 x + 4} - 2 5^{x - 1} = 78120

Apply exponent rules

2 x = 3

Solve

2 x = 3 : x = \frac{3}{2}

x = \frac{3}{2}

10000 = 2^{x}

1 0^{3 x} = 10000

\frac{10}{3} = e^{x} + e^{- x}

f^{5} = 5^{f}

2 (3.1)^{x} = (6.6)^{x}

What is the answer to 5^{2x+4}-25^{x-1}=78120 ?
The answer to 5^{2x+4}-25^{x-1}=78120 is x= 3/2
Solve for x: 5^{2x+4}-25^{x-1}=78120
The solution is x= 3/2