Solve the Exponential
Solve For X
3^(x+2)=27
X=1
Convert to a Logarithm of form
12^3=20.09
log_12 20.09=3
Convert the following to an exponential equation.
log_2 x=y
x=2y
Compress the following logarithm.
log_3 5+5log_3 2
log_3 160
f(x) = 24500 (.88)x
Is this a growth or decay function?
Decay function
Solve the following equation. Express your answer as a fraction, if necessary.
log_7 (5x+3) = log_7 (2x-10).
What is
x = -13/3
Solve For X
4^x=1
X=0
Convert to a Logarithm of form
3^0=1
log_3 1=0
Convert the following to an exponential equation.
log_8 1=0
80 = 1
Expand the following logarithm using the power and product rules.
log(x^4y^3z^5)
4logx+3logy+5logz
Write a function in terms of x that represents this situation.
A country club tennis tournament had 128 participants this year. During each round, half of the players are eliminated.
f(x) = 128 (.5)x
Solve the following equation.
2logx=2
What is "x=10"?
Solve For X
5^x=1/25
X = -2
Convert to a Logarithm of form
2^(x+2)=29
log_2 29=x+2
Convert the following to an exponential equation.
log_2 (x+3)=8
2^8=x+3
Rewrite the following logarithm
log(7)+log(a-b)-2logc
log((7(a-b))/c^2)
or
log((7a-7b)/c^2)
The population of Oswego grows at a rate of 5% per year. The current population in 2023 is 40,000. What would the predicted population be in 2055?
What is 190,598 people?
Solve the following equation. Express your answer as a fraction, if necessary.
log (2x+5)=3
What is "995/2"?
Solve for X
2^(2x)=1/4
x=-1
Convert to a Logarithm of form
5^3=x-3
log_5 (x-3)=3
Convert the following to an exponential equation.
log_7 4=x-6
7^(x-6)=4
Expand the following logarithm using the power and quotient rules.
log((3x^2)/(x+1)^10)
log(3x^2)-10log(x+1)
or
log(3)+ 2log(x)-10log(x+1)
A piece of machinery valued at $350,000 depreciates at a fixed rate of 16% per year.
After how many years will the value have depreciated to $121,000?
Rounds to the hundreth place.
What is 6.09 years?
Solve the following equation. Express your answer as a fraction, if necessary.
log (3x+2) - log (x-1)=1.
What is "x= 12/7"?
Solve for x.
y=2^(x-4)+1
x=log_2(y-1)+4
Convert to a logarithmic form
3^(x+1)=0.5
x+1=log_3 (0.5)
Convert the following to an exponential equation.
log(x+1)=4
x+1=10^4
Compress the following logarithm using the power and product rules.
log5+2logx-3log(x^2+5)
log((5x^2)/(x^2+5)^3)
A science lab is researching June Beetles. The population of June Beetles has been growing at a rate of 5% per month. Within the enclosure there are 800 beetles at the start of the research.
How long until the population of June Beetles triples?
Round your answer to the thousandth place.
What is 22.517 months ?
Solve the following equation. Express your answer as a fraction, if necessary.
log (x+21) + logx =2
What is "x=4"?