Question 105564

Write the given equation in logarithmic form.
{{{(1/3)^-4 = 81}}}
Hint
Relate the exponential function to a logarithmic function.
1. 
The exponential function is {{{y = bx}}}. The corresponding logarithmic function is
{{{x = log(b)y}}}.

2. 
The base {{{b}}} is the same in both functions.
Hint
Substitute.
3.
Substitute: {{{-4}}} for {{{x}}}, {{{1/3}}} for {{{b}}}, and {{{81}}} for {{{y}}} in the logarithmic function.
{{{-4 = log(1/3)81}}}
The logarithmic form of the equation is {{{ log(1/3)81= -4}}}