Question

Determine: 10.10^x = 100^2x​

Answer 1

10.10^x = 100^2x

10^1+x = 10^2×2x

1 + x = 2 × 2x

1 + x = 4x

1 = 4x - x

1 = 3x

x = 1/3

Answer 2

Explicação passo-a-passo:

.

$10 \times 10 {}^{x} = 100 {}^{2x}$

$10 {}^{x + 1} = 10 {}^{4x}$

$x + 1 = 4x$

$x - 4x = - 1$

$- 3x = - 1( - 1)$

$3x = 1$

$x = \dfrac{1}{3}$