OR Exponent to log
4^-5 = 1/1024
Expand:
log 2x
log 2 + log x
log3 x = 4
x = 81
log(7x+1) = log (x+13)
x = 2
Solve for x :
3^x=50
3.561
11^4 = 14641
log11 14641 = 4
Condense into a single logarithm:
4 log x + 3 log y
log (x4y3)
logx 64 = 3
x = 4
log (x+5) = log 10
x = 5
Solve for x:
17^x=1000
2.438
logc m = 17
c17 = m
Expand:
log(2x^2)
log 2 + 2 log x
log6 1 = x
x = 0
log2 (8 - 6x) = 5
x = -4
Solve for x:
3*4^x=120
2.661
log 0.01 = -2
10-2 = 0.01
Condense into a single logarithm:
3 log x - 2 log 2
log (x^3 / 4)
log3 2x+1 = 4
x = 40
log(x)-log(10) = log 360
x = 3600
Solve for x:
5^x-4=241
3.418
t = log3 8
3t = 8
Condense into a single logarithm and simplify:
log2 16 - log2 2
log2 8 = 3
log3 4x+3 = 5
x = 60
log2 (1+x/2) = 4
x = 30
A car depreciates in value 30% every year. Initially, the car is worth $42,000. In how many years will the car be worth $20,000?
2.08 years