Exponential and logarithmic functions

An exponential function like y = b^x graphs as a curve that keeps climbing (or falling) by the same factor each step, showing its end behavior and any intercept clearly; a logarithm undoes an exponential, so the equation b^(ct) = d can be solved for t by taking a logarithm of both sides: for example, 2^(3t) = 16 means 3t = log base 2 of 16 = 4, so t = 4/3.

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