Question

(2^x). (3) = 10
Quanto vale x?

Answer 1

Resposta:

(2^x). (3) = 10

(2^x) = 10/3

log (2^x) =log 10/3

x* log 2 =log 10- log 3

x* log 2 =1-log 3

x=(1-log 3)/log 2

x= (1- 0,47712)/0,30103

x= 1,7369697

Answer 2

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{2^x.3 = 10 }$

$\mathsf{log\: (2^x.3) = log\:10 }$

$\mathsf{log\: (2^x) + log\:3 = log\:10 }$

$\mathsf{x\:log\: 2 + log\:3 = log\:10 }$

$\mathsf{x\:log\: 2 = log\:10 - log\:3 }$

$\mathsf{x = \dfrac{log\:10 - log\:3}{log\:2}}$

$\boxed{\boxed{\mathsf{x \approx 1,74}}}$