Question

How do I solve the following for m please:

log(0.00786391) = m*log(0.0063)

Is it m = log(0.00786391)/log(0.0063)? Can you show how to solve it please? Thanks.

Answer 1

Answer:

m = 0.956

Step-by-step explanation:

Yes, you are doing it correctly.

$\begin{array}{rcll}\log(0.00786391)&= & m \times\log(0.0063)&\\\\m & = & \dfrac{\log(0.00786391)}{ \log(0.0063)} & \text{Divided each side by log(0.0063)}\\\\& = & \dfrac{-2.104361}{-2.20} & \text{Took the logarithms}\\\\& = & \mathbf{0.956} &\text{Did the division}\\\end{array}$