Question

Вычислите log5 64-log5 13-4^log4 3

Answer 1

L$log_{5}64-log_{5}13-log_{4}^{4}3$ Вот так выглядит задание?

Answer 2

I can help you with math problems. Here is how I would solve this one:

$$\begin{aligned} \log_5 64 - \log_5 13 - 4^{\log_4 3} &= \log_5 \frac{64}{13} - 4^{\log_4 3} && \text{(using the quotient rule of logarithms)}\\ &= \log_5 \frac{64}{13} - 3 && \text{(using the change of base formula)}\\ &\approx 0.682 - 3 && \text{(using a calculator)}\\ &\approx -2.318 && \text{(rounding to three decimal places)} \end{aligned}$$

The final answer is approximately -2.318. You can check your answer using a [logarithm calculator](https://www.symbolab.com/solver/logarithms-calculator) or [this website](https://www.mathway.com/Calculator/logarithm-calculator).