Take the logarithm of both sides. The base of the logarithm doesn't matter.


Drop the exponents:

Expand the right side:

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :


Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

You can stop there, or continue simplifying the solution by using properties of logarithms:



You can condense the solution further using the change-of-base identity,

Answer:
∠ PTQ = 70°
Step-by-step explanation:
The angles subtended by the radii and tangents to the circle , sum to 180°
∠ PTQ + 110° = 180° ( subtract 110° from both sides )
∠ PTQ = 70°
The expression
means "all the numbers stricktly greater than -4"
Since the number line is oriented with positive direction going to the right, a number is greater than another if its sits to its right.
So, we want all the numbers to the right of -4, excluded -4 itself.
So, the answer is D.
Answer:
Depends on the sort of interest, He could have paid annual interest, compound interest, monthly. If it is annual interest the answer is 5,725$
Step-by-step explanation:
Multiply the initial value by the growth (1.145)