5^3x=27, what is the value of 5^2x?

Answers

Answer 1

Answer: $5^(3x)=27\n\n\left(5^x\right)^3=3^3\iff5^x=3\n\n\left(5^x\right)^2=3^2\n\n5^(2x)=9$

Answer 2

Answer: $5^(3x)=27\n 5^x=3\n 5^(2x)=3^2=9$

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Trina earns 38.50 tutoring for three hours. Write an equation relating her earnings M to the number of hours H she tutors. How much will Trina earn tutoring for three hours?

Answers

Answer: M = 12.83 * H

Step-by-step explanation:

38.50 for 3 hours.

Calculate hourly wage by dividing both sides by 3

$12.83333333333333 per hour. let's round this to $12.83

So M = hourly wage * H = M = 12.83 * H

a zoo has 19 more species of fish than birds. There are 152 species of fish at the zoo. How many species of birds does the zoo have/ COULD THE EQUATION BE b-19=152.

Answers

The equation would be 152 - 19 = X

X = 152 - 19

X = 133

There are 133 species of birds at the zoo

How to find the inverse of a function

Answers

switch the x and the y and solve for y
eg inverse of 2y= 3x+1
swith x and y
2x=3y+1
now solve for y
y =(2x-1)/3

|2n+5|>/9 solve for n?

Answers

$|2n+5|\geq9\iff2n+5\geq9\ or\ 2n+5\leq-9\ \ \ |subtract\ 5\ from\ both\ sides\n\n2n\geq4\ or\ 2n\leq-14\ \ \ \ \ |divide\ both\ sides\ by\ 2\n\n\boxed{n\geq2\ or\ n\leq-7}\n\nAnswer:\boxed{\boxed{n\in(-\infty;-7]\ \cup\ [2;\ \infty)}}$