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Learn 2.13B first
2.13B · Exponential and Logarithmic Equations and Inequalities
Try each one on paper first, then tap to check.
Practice
11
Test Prep
3
CA #1
6
CA #2
6
Worksheet PDF
Reveal all
1.
Solve the inequality:
log
4
x
<
3
\log_4 x<3
lo
g
4
x
<
3
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2.
Solve the inequality:
2
x
+
3
+
5
>
37
2^{x+3}+5>37
2
x
+
3
+
5
>
37
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3.
Solve the inequality:
log
5
+
log
(
x
−
2
)
≥
log
(
3
x
+
8
)
\log 5+\log(x-2)\ge\log(3x+8)
lo
g
5
+
lo
g
(
x
−
2
)
≥
lo
g
(
3
x
+
8
)
Show answer
4.
Solve the inequality:
4
(
3
2
x
)
−
8
≤
316
4\left(3^{2x}\right)-8\le 316
4
(
3
2
x
)
−
8
≤
316
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5.
Solve the inequality:
log
2
(
x
+
5
)
−
8
>
−
3
\log_2(x+5)-8>-3
lo
g
2
(
x
+
5
)
−
8
>
−
3
Show answer
6.
Solve the inequality:
ln
(
x
+
4
)
≤
ln
(
x
−
6
)
+
ln
3
\ln(x+4)\le\ln(x-6)+\ln 3
ln
(
x
+
4
)
≤
ln
(
x
−
6
)
+
ln
3
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7.
Find the inverse:
g
(
x
)
=
ln
(
x
−
4
)
+
8
g(x)=\ln(x-4)+8
g
(
x
)
=
ln
(
x
−
4
)
+
8
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8.
Find the inverse:
f
(
x
)
=
3
(
2
x
)
+
6
f(x)=3\left(2^x\right)+6
f
(
x
)
=
3
(
2
x
)
+
6
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9.
Find the inverse:
h
(
x
)
=
3
log
2
(
2
x
+
1
)
−
3
h(x)=3\log_2(2x+1)-3
h
(
x
)
=
3
lo
g
2
(
2
x
+
1
)
−
3
Show answer
10.
Find the inverse:
j
(
x
)
=
2
e
x
+
8
−
5
j(x)=2e^{x+8}-5
j
(
x
)
=
2
e
x
+
8
−
5
Show answer
11.
Use
A
=
P
e
r
t
A=Pe^{rt}
A
=
P
e
r
t
. Mr. Brust currently has $250,000 in his retirement account that earns him 8.5% annual interest. How long will it take for the account to have at least $1,000,000 if he does not add any more money into the account?
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