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Let’s check out your problem:
X
−
(
X
×
0.17
)
=
508.593
X-(X\times0.17)=508.593
X
−
(
X
×
0.17
)
=
508.593
View step-by-step help
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Math Problems
Algebra 2
Evaluate logarithms using a calculator
Full solution
Q.
X
−
(
X
×
0.17
)
=
508.593
X-(X\times0.17)=508.593
X
−
(
X
×
0.17
)
=
508.593
Convert to Decimal:
First, let's represent
17
%
17\%
17%
as a decimal, which is
0.17
0.17
0.17
.
Set Up Equation:
Now, set up the equation based on the problem:
X
−
(
X
×
0.17
)
=
508.593
X - (X \times 0.17) = 508.593
X
−
(
X
×
0.17
)
=
508.593
.
Simplify Equation:
Simplify the equation by distributing the
X
X
X
:
X
−
0.17
X
=
508.593
X - 0.17X = 508.593
X
−
0.17
X
=
508.593
.
Combine Like Terms:
Combine like terms:
0.83
X
=
508.593
0.83X = 508.593
0.83
X
=
508.593
.
Divide by
0
0
0
.
83
83
83
:
Divide both sides by
0
0
0
.
83
83
83
to solve for
X
X
X
:
X
=
508.593
0.83
X = \frac{508.593}{0.83}
X
=
0.83
508.593
.
Perform Division:
Perform the division:
X
≈
612.642
X \approx 612.642
X
≈
612.642
.
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Write the exponential equation in logarithmic form.
\newline
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9^3 = 729
9
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log
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log
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Question
Which property of logarithms does this equation demonstrate?
\newline
log
3
3
+
log
3
6
=
log
3
18
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lo
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3
+
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3
6
=
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18
\newline
Choices:
\newline
(A)
Product Property
\text{Product Property}
Product Property
\newline
(B)
Power Property
\text{Power Property}
Power Property
\newline
(C)
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\text{Quotient Property}
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Question
Expand the logarithm. Assume all expressions exist and are well-defined.
\newline
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\newline
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Expand the logarithm. Assume all expressions exist and are well-defined.
\newline
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\newline
log
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\log v^7
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\newline
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Expand the logarithm. Assume all expressions exist and are well-defined.
\newline
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6
6
6
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6
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\newline
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