Réitigh (log_{5}125-log_{2}128)*log_{1/3}81=

$$( \log _ { 5 } 125 - \log _ { 2 } 128 ) \cdot \log _ { \frac { 1 } { 3 } } 81 =$$

Luacháil

$$16$$

Céimeanna Réitigh

Is é logartam bunaidh 5 125 ná 3.

$$\left(3-\log_{2}\left(128\right)\right)\log_{\frac{1}{3}}\left(81\right)$$

Is é logartam bunaidh 2 128 ná 7.

$$\left(3-7\right)\log_{\frac{1}{3}}\left(81\right)$$

Dealaigh 7 ó 3 chun -4 a fháil.

$$-4\log_{\frac{1}{3}}\left(81\right)$$

Is é logartam bunaidh \frac{1}{3} 81 ná -4.

$$-4\left(-4\right)$$

Méadaigh -4 agus -4 chun 16 a fháil.

$$16$$

Fachtóirigh

$$2^{4}$$