Question

Expand log 77/25. Please give be the answer

Answer 1

Answer:

log a/b = log a - log b

log 77/25 = log 77 - log 25

= log 77- log 5²

= log 77 - 2 log 5

Answer 2

Answer:

$\large\boxed{log_1_0(77)-2log_1_0(5)=0.48}}}}$

Step-by-step explanation:

To solve this problem, first you have to use the log numbers from left to right.

Given:

log 77/25

Solutions:

First, you have to use log rule.

$\large\boxed{\textnormal{Log Rule}}$

$\displaystyle log_c(\frac{a}{b})=log_c(a)-log_c(b)$

$\displaystyle log_1_0(\frac{77}{25})=log_1_0(77)-log_1_0(25)$

$\displaystyle log_1_0(77)-log_1_0(25)$

Solve.

$\displaystyle log_1_0(25)$

Rewrite the problem.

$\displaystyle log_1_0(5^2)$

$\displaystyle log_1_0(5^2)=2log_1_0(5)$

$\large\boxed{log_1_0(77)-2log_1_0(5)}$

In conclusion, the final answer is log₁₀(77)-2log₁₀(5).