Logarithmic Functions Exercises
Example 1
Solve the following exponential equation for y:
7(y + 1) = 3x + 3
Example 2
Find x in the following exponential equation. Do not simplify to decimals:
4ex + 10 = 20
Example 3
What value of x satisfies the following equation?
log10 10 = x
Example 4
What value of x satisfies the following equation?
log3 1 = x
Example 5
Is the following logarithmic equation valid for any one value of x?
log10 x = -3
Example 6
Solve the following exponential equation for y:
e(y + 4) – 15 = x2
Example 7
Solve the logarithmic equation 
for x. Do not simplify to decimals.
or 
Example 8
Evaluate the following log equation for x = 9:
y = log3(x2)
Example 9
Evaluate the following log equation for x = 5, to three decimal places:
y = ln(3x) + ln(ex)
Example 10
Evaluate the following log equation to three decimal places using only base-10 logarithmic functions:
y = log3 13
Example 11
Write log4 17 in base-10 form.
Example 12
Write ln(4x) in base-10 form.
