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kakasveta [241]
3 years ago
9

What is the true solution to the equation below?

Mathematics
1 answer:
Naddik [55]3 years ago
5 0
Yeeee

assuming your equaiton is
2ln(e^{ln(2x)})-ln(e^{ln(10x)})=ln(30)


remember some nice log rules
log_a(b)=c translates to a^c=b
and
a^{log_a(b)}=b
and
xlog_c(b)=log_c(b^x)
and
ln(x)=log_e(x)
and
log(a)-log(b)=log(\frac{a}{b})
and
if log(a)=log(b) then a=b

so

we can simplify a bit of stuff here

the e^{ln(2x)} \space\ and \space\ the \space\ e^{ln(10x)} can be simplified to 2x \space\ and \space\ 10x

so we gots now

2ln(2x)-ln(10x)=ln(30)
ln((2x)^2)-ln(10x)=ln(30)
ln(4x^2)-ln(10x)=ln(30)
ln(\frac{4x^2}{10x})=ln(30)
same base so
\frac{4x^2}{10x}=30
\frac{2x}{5}=30
times both sides by 5
2x=150
divide both sides by 2
x=75
answer is x=75
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jocelyn bought 2 sweaters for the same price. she paid 23.56,including sales tax of 1.36 and a 5.00 discount coupon. what was th
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Number of sweaters bought by Jocelyn = 2
Price of the 2 sweaters including tax and discount coupon = 23.56
Amount of ales tax taken = 1.36
Amount of discount coupon = 5.00
Then
Price of 2 sweaters before tax = 23.56 - 1.36
                                                 = 22.20
Then
Price of the sweater before discount coupon was applied = 22.20 + 5.00
                                                                                             = 27.20
So
Price of 1 sweater before tax and coupon discount = 27.2/2
                                                                                   = 13.6
So the price of 1 sweater before tax and coupon discount is 13.6.
6 0
3 years ago
Emma has saved £1.35 in 5p coins. How many 5p coins does Emma have?
valentinak56 [21]
To make calculation easier, we first multiply
1.35 × 100 = 135

then we need to find how many groups of 5 are there in 135.
to do so, we simply take 
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therefore, the answer is <u>27.</u>
8 0
3 years ago
Which statement is best represented by the inequality t less-than negative 15?
Tems11 [23]

Answer:

The first one

Step-by-step explanation:

Today’s temperature was less than Negative 15 degrees Fahrenheit.

5 0
3 years ago
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According to the distributive property, 6 (a + b) =
lilavasa [31]
<span>6 (a + b) = 6a +  6b

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yuradex [85]

Answer:

5.1

Step-by-step explanation:

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