question 4 week 3

Question

1. Write the logarithmic equation log₇x = y in exponential form.

please show steps

Answer 1

There are always 3 components to any logarithmic equation. They are what I call the base, the exponent( or logarithm), and the "final value". In a logarithmic equation, the base is the subscript. The final value is the number following the subscript, and the log ( or exponent) is the number on the other side of the equation from where the word "log" is written. When switching to exponential form, these 3 numbers simply change position and the word "log" is eliminated. So in exponential form, the base is the number that is then raised to the exponent, and on the other side of the equation is the final value.

Example: log_b a = c becomes b^c = a Hope this helps!

Answer 2

log₇x = y

7^y = x

There are no steps. It is the definiton of logrithm.