Question

Resolva os logaritmos
a) Log8 64 = x

b) Log5 125 = x

c) Log2 8 = x

d) Log3 27 = x

e) Log5 x = 3

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo a passo:

$\mathsf{log_8\:64 = x}$

$\mathsf{8^x = 64}$

$\mathsf{\not8^x = \not8^2}$

$\boxed{\boxed{\mathsf{x = 2}}}\leftarrow\textsf{letra A}$

$\mathsf{log_5\:125 = x}$

$\mathsf{5^x = 125}$

$\mathsf{\not5^x = \not5^3}$

$\boxed{\boxed{\mathsf{x = 3}}}\leftarrow\textsf{letra B}$

$\mathsf{log_2\:8 = x}$

$\mathsf{2^x = 8}$

$\mathsf{\not2^x = \not2^3}$

$\boxed{\boxed{\mathsf{x = 3}}}\leftarrow\textsf{letra C}$

$\mathsf{log_3\:27 = x}$

$\mathsf{3^x = 27}$

$\mathsf{\not3^x = \not3^3}$

$\boxed{\boxed{\mathsf{x = 3}}}\leftarrow\textsf{letra D}$

$\mathsf{log_5\:x = 3}$

$\mathsf{5^3 = x}$

$\boxed{\boxed{\mathsf{x = 125}}}\leftarrow\textsf{letra E}$

Answer 2

Explicação passo-a-passo:

.

A)$log_{8}(64) = x$

$log_{8}(8 {}^{2} ) = x$

$2 = x$

$x = 2$

.

B)$log_{5}(125) = x$

$log_{5}(5 {}^{ 3} ) = x$

$3 = x$

$x = 3$

.

C)$log_{2}(8) = x$

$log_{2}(2 {}^{ 3} ) = x$

$3 = x$

$x = 3$

.

D)$log_{3}(27 ) = x$

$log_{3}(3 {}^{3} ) = x$

$3 = x$

$x = 3$

.

E)$log_{5}(x) = 3$

$x = 5 { }^{3}$

$x = 125$