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Solve the logarithmic equation $\log_{49}\left(-t\right)-\frac{9}{2}=-4$

Step-by-step Solution

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Solution

Final answer to the problem

$t=-7$
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Step-by-step Solution

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Learn how to solve problems step by step online. Solve the logarithmic equation log49(-1*t)-9/2=-4. Express the numbers in the equation as logarithms of base 49. We need to isolate the dependent variable t, we can do that by simultaneously subtracting -\frac{9}{2} from both sides of the equation. Canceling terms on both sides. Use the following rule for logarithms: \log_b(b^k)=k.

Final answer to the problem

$t=-7$

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Function Plot

Plotting: $\log_{49}\left(-t\right)-\frac{9}{2}+4$

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1
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4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
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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