Evaluate the expression using the properties of logarithms:
log3 243
log (0.001)2
Use log 2 0.301 to work out log 32.
Use log 12 1.079 to work out log 144.
Evaluate the expression using the properties of logarithms. Assume that
log 2 0.3010 and log 3 0.4771. Round the answer to the nearest thousandth.
log 1.5
Evaluate the expression using the properties of logarithms. Assume that log 3 0.4771. Round the answer to the nearest thousandth.
log 27
Expand log7 36
Expand :
Expand:
Expand the logarithm.
Determine the property or properties used to rewrite the following expression.
log 5 + log 9 = log 45
log 24 – log 4 = log 6
Simplify the given expression.
log3 81 + log3 9
Simplify the logarithmic expression
Simplify the logarithmic expression:
Write the logarithmic expression as a single logarithm.
4(ln 4 – ln x) + (ln x – ln 16)
Express as the logarithm of a single number or expression:
log3 P + log3 Q + 4
1 – 4 log3 x
Evaluate the expression using the change–of–base formula:
log7 14
log 6 7
Solve the given equation.
Solve for x.
Solve the equation:
Solve for b.
Is the statement true or false?
log6 28 – log5 7 = log6 4
(log5 6)3 = log5 63
Check whether the given statement is true or false. If false, give a counterexample and correct it.
log(A + B) = log A · log B
log(y – x) = log y – log x
