Which logarithmic equation is equivalent to the exponential equation below?
3^x=28
x log3 = log28
x = 3.0331
0000.12231 :)
To find the equivalent logarithmic equation for the given exponential equation, we can apply the definition of logarithms:
In general, a logarithm is the inverse operation of an exponential function. If y = a^x, then the logarithm of y to the base a is denoted as log base a of y = x.
In this case, we have the exponential equation 3^x = 28.
To convert this exponential equation to a logarithmic equation, we need to express it in the form log base a of y = x.
Using the definition of logarithms, we can rewrite the equation as:
log base 3 of 28 = x
So, the equivalent logarithmic equation is log base 3 of 28 = x.