Converting Log and Exponential Form
Convert to Exponential Form:
log_2(8)=x
2^x=8
Solve for x:
5^(2x)=21
x=log_5(21/2)
Condense the Logarithms:
log_3(2x)-log_3(5y)
log_3((2x)/(5y))
Solve using Logarithms:
log_7(49) = x
x=2
Convert to Logarithmic Form:
4^y=x
log_4(x)=y
Solve for x:
5*2^x=240
x=log_2(48)
Completely Expand the Logarithm:
log((2x)/y)
log(2)+log(x)-log(y)
Solve Using Logarithms:
log_3(1/27)=x
x= -3
Convert to Exponential Form:
log_(x-1)(4)=2y
(x-1)^(2y)=4
Solve for x:
3^(2x-1)=27
x=2
Condense the Logarithms:(use ln the same as any other log)
2ln(3)-2ln(x)+4ln(y)
ln((9y^4)/x^2)
Solve by Converting:
log_4(x)=-5
x=
x = 1/1024
Convert to Exponential Form:
log_(3x)(5-z)=4y
(3x)^(4y)=5-z
Solve for n and explain why it has only one solution:
9^n-6*3^n-27=0
What is n=2
Condense the Logarithms:
3log(x)-4log(2)-5log(z)+3log(3)
log((27x^3)/(16z^5))
Solve using Logarithms:
log_x(1/64) = -2
x = 8
Convert to Logarithmic Form:
10^(x+4)=2y-7
log(2y-7)=x+4
Solve for x:
2*e^(3x-1)-7=13
x=(ln10+1)/3
Completely Expand the Logarithm:
log_7((3x^6y^7)/(7z^5))
log_7(3)+6log_7(x)+7log_7(y)-1-5log_7(z)
Solve using Logarithms:
log_(x+2)(16)=2
x=2