Question

Express this equation in logarithmic form. y = bx

Answer 1

the answer to this problem would be log10y=x

Answer 2

Answer:

$x = \log_b y$

Step-by-step explanation:

Using logarithmic rules:

$\log a^x = x \log a$

$\frac{\log x}{\log b} = \log_b x$

Given the equation:

$y = b^x$

Taking log both sides we have;

$\log y = \log b^x$

Apply the logarithmic rule:

$\log y = x \log b$

Divide both sides by log b we have;

$\frac{\log y}{\log b} = x$

Apply the logarithmic rule:

$\log_b y = x$

or

$x = \log_b y$

Therefore, the equation in logarithmic form is, $x = \log_b y$