1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Harrizon [31]
2 years ago
14

I need help with this math question

Mathematics
1 answer:
ICE Princess25 [194]2 years ago
7 0

Answer:

B. 5

Step-by-step explanation:

Step 1: Rewrite the equation a bit

\frac{7^\frac{3}{4}}{7^\frac{x}{8}}=\sqrt[8]{7}\\7^\frac{3}{4}^-^\frac{x}{8}=7^\frac{1}{8}

Step 2: Place a logarithm base 7 on both sides

7^\frac{3}{4}^-^\frac{x}{8}=7^\frac{1}{8}\\log_77^\frac{3}{4}^-^\frac{x}{8}=log_77^\frac{1}{8}\\(\frac{3}{4}-\frac{x}{8})log_77=\frac{1}{8}log_77\\(\frac{3}{4}-\frac{x}{8})1=\frac{1}{8}1\\\frac{3}{4}-\frac{x}{8}=\frac{1}{8}

Step 3: Solve for x

\frac{3}{4}-\frac{x}{8}=\frac{1}{8}\\\frac{6}{8}-\frac{x}{8}=\frac{1}{8}\\-\frac{x}{8}=-\frac{5}{8}\\\frac{x}{8}=\frac{5}{8}\\x=5

Neat exponent question :)

You might be interested in
$32.00for a 14 2/9 km taxi ride. What is the cost per kilometer
KonstantinChe [14]

\begin{array}{ccll} \$&km\\ \cline{1-2} 32&14\frac{2}{9}\\[1em] x&1 \end{array}\implies \cfrac{32}{x}=\cfrac{14\frac{2}{9}}{1}\implies \cfrac{32}{x}=14\frac{2}{9}\implies \cfrac{32}{x}=\cfrac{14\cdot 9+2}{9} \\\\\\ \cfrac{32}{x}=\cfrac{128}{9}\implies 288=128x\implies \cfrac{288}{128}=x\implies \stackrel{~\hfill \textit{2 bucks and 25 cents}}{\cfrac{9}{4}=x\implies 2\frac{1}{4}}=x

4 0
2 years ago
HELP MOI. Ty friends
stiv31 [10]
$3.19

That will be the answer sir/ma’am
6 0
3 years ago
Read 2 more answers
Which shape has a larger area: a rectangle that is 7 inches by 34 inch, or a square with side length of 212 inches?
GREYUIT [131]
Answer is square with the side of 212 inches. It's area is 212×212 which is bigger than rectangular area.
7 0
3 years ago
Read 2 more answers
-7(x - 5) = 91 bro I need help and i must show work
fredd [130]

Answer:

X = -8

Step-by-step explanation:

-7(x-5)=91

x-5=-13

x=-13+5

x=-8

5 0
2 years ago
Rob and john share money in a ratio of 9:4. How much of the £39000 does john get ?
murzikaleks [220]
\bf \cfrac{Rob}{John}\qquad 9:4\qquad \cfrac{9}{4}\qquad \cfrac{9\cdot \frac{39000}{9+4}}{4\cdot \frac{39000}{9+4}}\implies \cfrac{9\cdot 3000}{4\cdot 3000}
3 0
3 years ago
Other questions:
  • (Y+8) (y-8) how do I solve this?
    5·2 answers
  • Robert bought X pounds of potatoes for $1.99 per pound. He paid for the potatoes with a $10 bill. Which of the following variabl
    9·1 answer
  • PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! I CANNOT RETAKE THIS!!
    10·1 answer
  • (5x + k)2 = mx2 + 70x + 49<br> Find m<br> Find k
    15·1 answer
  • 30 Points
    15·2 answers
  • What triangle equals 135 degrees
    11·1 answer
  • I need help fast!! Ill give brainliest.
    11·1 answer
  • Which of the following is an ordered pair on the graph? What does it represent in this situation?
    8·1 answer
  • Please help! Will mark brainliest
    12·1 answer
  • In a basketball tournament, Team A scored 5 fewer than twice as many points as Team B. Team C scored 80 more points than Team B.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!