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Academy Algebra II/Trig
6.6: Solve Exponential and
Logarithmic Equations
Unit 8 Test (6.3-6.8): Friday 3/22
Property of Equality for Exponential
Equations
x5
Property of Equality for Exponential
Equations
x7
Solve the equation. (Type 1)
4x – 7 = x + 5
3x = 12
x=4
If the equation is
a log = log with the
same base, make
the expressions
equal and solve.
Solve the equation. (Type 1)
Solve the equation. (Type 2)
3.) log 4 (5 x  1)  3
4  5x 1
3
64  5 x  1
65  5 x
13  x
If the equation is a
log = number, then
“snail” it (write as a
power).
Solve the equation. (Type 2)
Solve the equation. (Type 2)
Academy Algebra II/Trig
6.6: Solve Exponential and
Logarithmic Equations
HW: p.434 (62,66,70,74), p.447 (88,90,94,98)
Unit 8 Test (6.3-6.8): Friday 3/22
Solve the equation. (Type 3)
Rewrite the equation so
that the powers have the
same base.
9  32 and 27  33
When the equation is a
power = power with the
same base, make the
exponents equal and solve.
Solve the equation. (Type 3)
Solve the equation. (Type 3)
Solve the equation. (Type 4)
log 4 4  log 4 11
x
x  log 4 11
log 11
x
log 4
x  1.73
If the equation is a
power = number, then
log both sides with the
base the same as the
base of the power.
x
Since the power is 4
the base for the log
should be 4.
Solve equation using
log rules. (inverse
properties and change of
base)
Solve the equation. (Type 4)
Solve the equation. (Type 4)
Do Now: Solve the equation.
Do Now: Solve the equation.
Do Now: Solve the equation.
Academy Algebra II/Trig
6.6: Solve Exponential and
Logarithmic Equations
HW: p.463 (20, 22, 24, 33, 36, 42, 48)
Unit 8 Test (6.3-6.8): Friday 3/22
Examples: Solve the equation.
Examples: Solve the equation.
Examples: Solve the equation.