Question

calcule:

log
${1.5}^{ \frac{4}{9} }$
​

Answer 1

log 1,5 4/9 = n

log 3/2 4/9 = n

(3/2)ⁿ = 4/9

(3/2)ⁿ = (2/3)²

(3/2)ⁿ = (3/2)-²

n = -2

Answer 2

Resposta:

Leia abaixo

Explicação passo-a-passo:

$\boxed{ log_{1,5}\frac{4}{9}}$

$\boxed{\frac{log \frac{4}{9} }{log1,5}}$

$\boxed{\frac{log \frac{4}{9} }{log \frac{15}{10} } } }$

$\boxed{\frac{log \frac{2^2}{3^2} }{log \frac{3.5}{10} } } }$

$\boxed{\frac{2log 2 - 2 log 3 }{log 3 + log 5 - log 10 }} }$

$\boxed{\frac{-0,35218 }{0,17609 } }$

$\boxed{\boxed{-2}}$