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Logarithmic Equation Problems - easy
Problem №1
Solve the equation
Solution:
The equation is defined for
.
We raise 2 to the power of each side of the equation. The resulting equation is
.
Problem №2
Solve the equation
Solution:
We take the base 9 antilogarithm:
Problem №3
Solve the logarithmic equation:
Solution:
We take the base 5 antilogarithm of both sides:
Problem №4
Solve the equation
Solution:
The logarithm function is defined for
.
, but
, therefore
is the only solution.
Problem №5
Solve the logarithmic equation
Solution:
We take the base 9 antilogarithm:
Problem №6
Solution:
Problem №7
Solution:
Problem №8
Solve the equation
Solution:
In order for the equation to be defined, the following must be true:
,
.
Problem №9
Solve the equation:
Solution:
=>
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