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
lutik1710 [3]
3 years ago
6

What is the value of x if 9^(x-1)-2=25

Mathematics
1 answer:
Lina20 [59]3 years ago
6 0
\bf 9^{x-1}-2=25\implies 9^{x-1}=25+2\implies 9^{x-1}=27\quad 
\begin{cases}
9=3^2\\
27=3^3
\end{cases}
\\\\\\
(3^2)^{x-1}=3^3\implies 3^{2(x-1)}=3^3\impliedby 
\begin{array}{llll}
\textit{base is the same, thus}\\
\textit{exponents are the same}
\end{array}
\\\\\\
2(x-1)=3\implies x-1=\cfrac{3}{2}\implies x=\cfrac{3}{2}+1\implies x=\cfrac{5}{2}
You might be interested in
A laptop has a listed price of $892.99 before tax. If the sales tax rate is 8.75%, find the total cost of the laptop wi the sale
Gnesinka [82]
Umm try googling it maybe I’m sorry
4 0
3 years ago
Read 2 more answers
The Tabletop Games club, a student-led campus group, hosted a virtual concert last week to raise awareness about their club and
valkas [14]

Answer:

chicken wings chicken wings hot dog and bologna chicken and macaroni, chillin wit my homies.

Step-by-step explanation:

8 0
3 years ago
A 4​-ft vertical post casts a 20​-in shadow at the same time a nearby cell phone tower casts a 115​-ft shadow. How tall is the c
Klio2033 [76]

Answer:

Step-by-step explanation4363 :

3 0
3 years ago
Can someone pls help me
fenix001 [56]

Answer:

A.

Step-by-step explanation:

it is showing the percentage of side effects as well as how it impacted children and adults.

7 0
3 years ago
Translate 5x+7 into a verbal sentence.
algol13
B im pretty sure....
7 0
3 years ago
Other questions:
  • A family went out to dinner. their bill was $65.00. they left a 15% tip on top of the bill. which amount is closest to the total
    7·2 answers
  • What is the solution to the equation?
    13·2 answers
  • Please Help solve this
    9·1 answer
  • Calculate the distance between the points H=(3,-1) and E=(8,-5) in the coordinate plane. Give an exact answer (not a decimal app
    6·1 answer
  • the sum of two numbers is 63. the smaller number is 21 less than the larger number. what are the numbers
    14·2 answers
  • Let X denote the length of human pregnancies from conception to birth, where X has a normal distribution with mean of 264 days a
    12·1 answer
  • Which shows the best path to find the number of centimeters in 1 yard?
    8·2 answers
  • Using remainder theorem find the remainder when p(x) = 3x^3 - 4x^2 - 5x +11 divided by ( x + 1)
    6·2 answers
  • The answer, and work shown.
    10·1 answer
  • Can someone answer this one question for me? Real answer only please, thanks.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!