
MathUsing that log(a^b) = b x log(a) `log_6[(1/1296)^3] = log_6(1296^(3)) = 3log_6(1296)` The logarithm of a number `x` base `r`, `log_r(x)`, is the power to which we need to raise `r` to obtain `x`...

MathA decibel (dB) is a logarithmic measure here representing ten times the logarithm (base 10) of the ratio of a sound intensity (in W/m^2) to some reference intensity (often the TOH, or threshold of...

MathYou need to convert 1 into `log 10` and `2log3` into `log 3^2` such that: `log 10 + log 9  log x = log(x + 1)` You need to use the properties of logarithms to convert the sum `log 10 + log 9` into...
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