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Solve the logarithmic equation $\log_{2x+6}\left(144\right)=2$

Step-by-step Solution

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Solution

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Final answer to the problem

$x=3,\:x=-9$
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Step-by-step Solution

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Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation log2*x+6(144)=2. Factor the polynomial 2x+6 by it's greatest common factor (GCF): 2. Change the logarithm to base 10 applying the change of base formula for logarithms: \log_b(a)=\frac{\log_{10}(a)}{\log_{10}(b)}. Since \log_{10}(b)=\log(b), we don't need to write the 10 as base. Take the reciprocal of both sides of the equation. Apply fraction cross-multiplication.

Final answer to the problem

$x=3,\:x=-9$

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Function Plot

Plotting: $\log_{2x+6}\left(144\right)-2$

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◻2
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◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Similar Problems Solved

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Main Topic: Logarithmic Equations

Are those equations in which the unknown variable appears within a logarithm.

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