If a logarithm has a coefficient, then the coefficient can also be written as the exponent of the input of the logarithm. In other words, if you have the logarithm alog(x), that is equal to log(x^a). So the expression can be rewritten:
log(x^2)+log(y^3)
If tow logarithms of the same bases are added together that is equal to the logarithm of the product of the inputs of the two original logarithms. In other words, given log(x)+log(y), it can also be written as log(xy). So the expression can be combined into one logarithm:
log(x^2 * y^3)
A. 8 is the answer
If the triangles are similar then their sides need to be in the same ratio. So, if 22 become 11, then the ratio is 2:1. So, for 16 it becomes 8.
Answer:
C. 35
Step-by-step explanation:
Use the equation: y= 10+5x
Answer:
a) 2.5
b)2.33
Step-by-step explanation:
a)

Bring the numerals to the right hand side and the x terms to the left hand side

Simplify

Divide 3 on both sides, to get x

b)

Bring the numerals to the right hand side and the x terms to the left hand side

Simplify

Answer: (8, 45)?
Step-by-step explanation: