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melisa1 [442]
3 years ago
5

Solve the equation. Round to the nearest hundredth. Show work.

Mathematics
1 answer:
Burka [1]3 years ago
3 0

Answer:

x=-0.75

Step-by-step explanation:

The given equation is

4^{-5x-7}=6^{2x-1}

We take logarithm of both sides to base 10.

\log(4^{-5x-7})=\log(6^{2x-1})

(-5x-7)\log(4)=(2x-1)\log(6)

We expand the brackets to get;

-5x\log(4)-7\log(4)=2x\log(6)-\log(6)

Group similar terms;

-7\log(4)+\log(6)=2x\log(6)+5x\log(4)

-7\log(4)+\log(6)=(2\log(6)+5\log(4))x

\frac{-7\log(4)+\log(6)}{(2\log(6)+5\log(4))}=x

x=-0.752478

To the nearest hundredth.

x=-0.75

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Help
konstantin123 [22]

Answer:

(2/3)(x-2)=4x

Simplify the left side of the equation.

(2/3)x - (2/3)*2 = 4x

Simplify the second part of the left side.

(2/3)x - (4/3) = 4x

Subtract (2/3)x on each side.

-(4/3) = (10/3)x

Divide by (10/3) on each side.

-0.4 = x

please mark brainliest

5 0
3 years ago
Lou runs 4 miles each day for 5 days a week. If he does this for 7 weeks, how
Shkiper50 [21]

Answer:

140 miles

Step-by-step explanation:

4 per day for 5 days a week

= 4x5=20 miles a week

For 7 weeks= 20x7= 140 miles

4 0
2 years ago
Read 2 more answers
At a soccer tournament 12 teams are wearing red shirts, 6 teams are wearing blue shirts, 4 teams are wearing orange shirts and 2
earnstyle [38]

Answer:

24 blank shirts

Step-by-step explanation:

I'm guessing you're asking for blank shirts. 12+6+4+2=24. 24 teams so far, but there are the blank shirts.

(24+b)/2=b. Multiply by 2

=24+b=2b. Subtract b

24=b

8 0
3 years ago
Which is true 465.4159>466 276.893>276.8932 35.899=35.9 27.4379 <27.438
Tomtit [17]
 i'm pretty sure it's 276.893>276.8932 
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3 years ago
Three-fifths (3/5) of a foot of rain was collected in two-thirds (2/3) of a day. At that rate, how much rain would be collected
pickupchik [31]
Nine-tenths (9/10) of a foot of rain would be collected in one day.
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3 years ago
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