math help please?

[itsashleybbyxo]

oy vey.

1. 2 ln z - 1/2 (ln x + 3 ln y)

2. Give an example of an exponential equation whose solution is a negative number.

3. The voltage input of an amplifier is 0.5 volts. Its voltage output is 52 volts. Use the formula d = 10 log (Ebase0/Ebase1), where d is the decibel voltage, Ebase0 is the output voltage, and Ebase1 is the input voltage to find the decibel voltage.

4. Explain why (logbaseb x)/(logbaseb y) does not equal logbaseb x - logbaseb y

Pleeeeease help meeee!

[ironduke8159]

1. 2 ln z - 1/2 (ln x + 3 ln y)
= lnz^2 -lnx^(1/2) - lny^3/2
= ln[z^2/(x^.5y^1.2)]

2. Give an example of an exponential equation whose solution is a negative number. An exponential equation is of the for y = b^x. The exponential equation never crosses the x-axis so there is there is no such solution.

3. The voltage input of an amplifier is 0.5 volts. Its voltage output is 52 volts. Use the formula d = 10 log (Ebase0/Ebase1), where d is the decibel voltage, Ebase0 is the output voltage, and Ebase1 is the input voltage to find the decibel voltage.
d= 10log(52/.5) = 10 log 104 = 20.7

4. Explain why (logbaseb x)/(logbaseb y) does not equal logbaseb x - logbaseb y. Suppos x = 5 and y = 10
Then log5/log10 = .69897
log(5)-log(10) = log 5/10 = log .5 = .30103
They do not mean the same thing. One ask for the quotient of logx/logy. The other asks for the log of (x/y)