1.What values could replace the "?" in these equations to make them true?

2. How would you explain to a friend who doesn't know about logarithms what the equation

LaTeX: \log_{10}x\:=\:y
log
10
⁡
x
=
y

says about x and y?

Remember that logarithms are inverse of exponentials. That means the result of the logarithm is equal to the exponent of a power with the same base.

Notice that the result is one beacuse

Because

So,

I would say to thim that and are variables of the logarithm, which be solved by imagine the logarithm as an exponential like

In other words, the is the exponent and the is the result of the exponential.

step-by-step explanation:

jjj

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.