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# Solve the exponential equation $50=35+4\left(\frac{3}{4}\right)^{\frac{x}{30}}$

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##  Final Answer

$x=\log_{\frac{3}{4}}\left(\frac{15}{4}\right)\cdot 30$
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##  Step-by-step Solution 

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Rearrange the equation

$35+4\left(\frac{3}{4}\right)^{\frac{x}{30}}=50$

Learn how to solve differential equations problems step by step online.

$35+4\left(\frac{3}{4}\right)^{\frac{x}{30}}=50$

Learn how to solve differential equations problems step by step online. Solve the exponential equation 50=35+43/4^(x/30). Rearrange the equation. We need to isolate the dependent variable , we can do that by simultaneously subtracting 35 from both sides of the equation. Canceling terms on both sides. Divide both sides of the equation by 4.

##  Final Answer

$x=\log_{\frac{3}{4}}\left(\frac{15}{4}\right)\cdot 30$

##  Exact Numeric Answer

$x=-137.8351$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for xFind the rootsSolve by factoringSolve by completing the squareSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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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
Dx
|◻|
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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