What is the answer to 100^{3x-3}=10^{4x-9} ?

The answer to 100^{3x-3}=10^{4x-9} is x=-3/2

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100^{3x-3}=10^{4x-9}

10 0^{3 x - 3} = 1 0^{4 x - 9}

x = - \frac{3}{2}

Decimal Notation

x = - 1.5

Solution steps

10 0^{3 x - 3} = 1 0^{4 x - 9}

Apply exponent rules

2 (3 x - 3) = 4 x - 9

Solve

2 (3 x - 3) = 4 x - 9 : x = - \frac{3}{2}

x = - \frac{3}{2}

y, 2^{y} = x

2^{5 x} = 7

4^{x} = 0.25

9^{x} - 3^{x} - 6 = 0

4^{2 x} = 3^{x + 1}

What is the answer to 100^{3x-3}=10^{4x-9} ?
The answer to 100^{3x-3}=10^{4x-9} is x=-3/2
Solve for x: 100^{3x-3}=10^{4x-9}
The solution is x=-3/2