Simple Logs / exponents
Rewrite log 81 3 = 1/4 as an exponent
811/4 = 3
Expand and simplify
log 12 (12/y)
1 - log 12 Y
Write as log base 5
log 6 20
(log 5 20) / (log 5 6)
Is -4 a solution of...
log 2 16 = 2 log 2 x
NO
$10,000 is invested at 5% compounded annually, what is the amount after 4 years?
$12,155.06
Solve
Log 4 1/64 = ?
-3
Expand and simplify
log 15 (x^2 / 225)
2log 15 x - 2
Write as log base 8
log 13 12
(log 8 12) / (log 8 13)
Solve for x
log 3 x = 4
x = 81
$3,000 is invested at 6% compounded quarterly, what is the amount after 6 years?
$4,288.51
Solve Log 5 1 = ?
0
expand and simplify
log 10,000y
4 + log y
write as a common log
log 3 64
log 64 / log 3
Solve for x
log 4 (x+6) + log 4 (x+3) = 1
x = -2
$4,000 is invested at 4% compounded continuously, what is the amount after 9 years?
$5,733.32
3rd root of 125 = 5
Rewrite as a logarithm
log 125 5 = 1/3
Expand and simplify
ln (e^3/2)
3 - ln 2
Write a natural log
log 5 11
(ln 11) / (ln 5)
Solve for x
2^x = 64
x = 6
How long will it take an investment compounded at 10% monthly to triple?
11.03 years
Solve
b ^(log b x) = ?
x
Expand and simplify
log (sqrt(1,000z))
1/2 log 1000 + 1/2 log z
Write in log base 13
log 8 13
Solve for x
27(x+5) = 243(x-5)
x = 20
How long will it take an investment compounded at 5% continuously to double?
13.86 years