All categories

3 years ago

Lg(5x+10)+2lg3=1+lg(4x+12)need them fast with steps

Mathematics

1 answer:

pashok25 [27]3 years ago

5 0

Answer:

x=6

Step-by-step explanation:

log(5x+10)-log(4x+12)=1-2log(3)

log(5x+10/4x+12)=1-2log(3)

log(5x+10/4x+12)=log(10)+log(3^-2)

log(5x+10/4x+12)=log(10×3^-2)

log(5x+10/4x+12)=log(10×1/9)

log(5x+10/4x+12)=log(10/9)

5x+10/4x+12=10/9

9(5x+10)=(4x+12)10

45x+90=40x+120

5x=30

x=6

if you like my answer. Please mark me as brainliest

You might be interested in

Ebony walked at arate of 3 1/2 miles per hour for 1 1/3 how far did she walk?

ElenaW [278]

let's firstly convert the mixed fractions to improper fractions.

$\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}}~\hfill \stackrel{mixed}{1\frac{1}{3}}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}$

$\bf \begin{array}{ccll} miles&hours\\ \cline{1-2}\\ \frac{7}{2}&1\\[0.8em] m&\frac{4}{3} \end{array}\implies \cfrac{~~\frac{7}{2}~~}{m}=\cfrac{~~1~~}{\frac{4}{3}}\implies \cfrac{7}{2m}=\cfrac{3}{4}\implies 28=6m \\\\\\ \cfrac{28}{6}=m\implies \cfrac{14}{3}=m\implies 4\frac{2}{3}=m$

6 0

3 years ago

Need help with this problem2(–2x – 4) + 6 = 5 – 3(x + 1) <br> I need the answer to this asap

Jet001 [13]

-4x-8+6=5-3x-3 distribute -4x-2=2-3x combine like terms -4=x combine like terms with addition and subtraction x=-4 final answer

4 0

3 years ago

Read 2 more answers

The number of trees planted by the alpine Nursery in April was three more than twice the number of trees planted by the nursery

Readme [11.4K]

Answer:

There were 34 trees planted in March

Step-by-step explanation:

* Lats explain how to solve the problem

- The number of trees planted by the alpine Nursery in April was

three more than twice the number of trees planted by the nursery

in March

- Assume that the number of trees planted in March is x

∵ The number of trees in April was three more than twice the

number of trees on March

∵ The number of trees on March was x

∴ The number of trees in April = 2x + 3

- There were 71 trees planted in April

∵ The number of trees were planted on April was 71

∵ The number of trees in April = 2x + 3

∴ 2x + 3 = 71

- Subtract 3 from both sides

∴ 2x = 68

- Divided both sides by 2

∴ x = 34

∵ x represents the number of trees were planted in March

∴ There were 34 trees planted in March

7 0

3 years ago

Help please!!!!!!!!!!!!

Vladimir79 [104]

Answer:

$\log_{9}{\dfrac{13}{x}}=\log_{9}{\boxed{13}}-\log_{9}{x}$

Step-by-step explanation:

The rule is ...

log(a/b) = log(a) -log(b) . . . . all logs to the same base

Then for a/b = 13/x, this becomes ...

log(13/x) = log(13) -log(x)

If the base of logarithms is 9, then this is ...

log9(13/x) = log9(13) -log9(x)

4 0

3 years ago

What energy transfer is occurring when a battery-powered toy rolls across the floor?

Svetach [21]

Answer:

4) Stored chemical energy is converted to mechanical energy.

Step-by-step explanation:

The battery represents energy stored in the form of chemical compounds. The motion represents mechanical energy. The transfer occurs between these forms of energy.

4) Stored chemical energy is converted to mechanical energy.

8 0

3 years ago