Question 285965
{{{log(x,1000) = 5}}}
Make sure you can read this OK.
The best thing, which I always remind myself, is
"logs are exponents"
The equation says: " {{{5}}} is the exponent which {{{x}}} is
raised to that gives me {{{1000}}}, so I can rewrite the
equation as:
{{{x^5 = 1000}}}
Now I can take the log to the base {{{10}}} of both sides
{{{log(x^5) = log(1000)}}}
{{{5*log(x) = 3}}}
{{{log(x) = 3/5}}}
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{{{x = 10^(3/5)}}} answer
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And you can check this:
{{{log(x,1000) = 5}}}
{{{x^5 = 1000}}}
{{{(10^(3/5))^5 = 1000}}}
{{{10^3 = 1000}}}
{{{1000 = 1000}}}
OK