What is the answer to 10^{(3x-1)/(2x+1)}=100 ?

The answer to 10^{(3x-1)/(2x+1)}=100 is x=-3

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10^{(3x-1)/(2x+1)}=100

1 0^{\frac{3 x - 1}{2 x + 1}} = 100

x = - 3

Solution steps

1 0^{\frac{3 x - 1}{2 x + 1}} = 100

Apply exponent rules

\frac{3 x - 1}{2 x + 1} = 2

Solve

\frac{3 x - 1}{2 x + 1} = 2 : x = - 3

x = - 3

0.2 e^{4 x} - 0.1 e^{- 3 x} = 0

(1 4^{3 x + 1}) (8^{2 x + 3}) = 7

5^{x} = 22

5^{x} = 23

5^{x} = 14

What is the answer to 10^{(3x-1)/(2x+1)}=100 ?
The answer to 10^{(3x-1)/(2x+1)}=100 is x=-3
Solve for x: 10^{(3x-1)/(2x+1)}=100
The solution is x=-3