Verified answer

This is spoken as

y = "log to the base 2" of (X+1).

and it's equivalent to saying

2^y = X + 1

where y is an exponent.

So, when y=0, the left side is 1, and X=0.

When y = 1, the left side is 2, and X = 1

When y = 2, the left side is 4 and X = 3

When y = 3, the left side is 8 and X = 7

When y = 4, the left side is 16 and X = 15.

Going the other way, a negative exponent indicates a fraction:

When y = -1, the left side is 1/2 and X = -1/2

When y = -2, the left side is 1/4 and X = -3/4

When y = -3, the left side is 1/8 and X = -7/8

This gives you at least 8 points to plot,

and then try to connect them with a smooth curve.

with a view to come across the x-intercepts, set f(x)=0 and treatment. So, hence of properties of logarithmic purposes, we are able to state log (base 10)(x) = 0 at an analogous time as x= a million.(log(a million) = 0) this provide you the x - intercept, as properly the reality that, that isn't the equation. The equation is log(2x). So, set the interior to such as a million hence of actuality log(a million) = 0. the consequence must be 2x = a million. Now, treatment for x. x would desire to equivalent a million/2. So, the x - intercept of log(2x) is a million/2 that's smart, log(2(a million/2)) = log(2/2) = log(a million) = 0. i'm hoping this facilitates with any of you inaccuracies.