Answer:
Step-by-step explanation:
Method 1: Taking the log of both sides...
So take the log of both sides...
5^(2x + 1) = 25
log 5^(2x + 1) = log 25 <-- use property: log (a^x) = x log a...
(2x + 1)log 5 = log 25 <-- distribute log 5 inside the brackets...
(2x)log 5 + log 5 = log 25 <-- subtract log 5 both sides of the equation...
(2x)log 5 + log 5 - log 5 = log 25 - log 5
(2x)log 5 = log (25/5) <-- use property: log a - log b = log (a/b)
(2x)log 5 = log 5 <-- divide both sides by log 5
(2x)log 5 / log 5 = log 5 / log 5 <--- this equals 1..
2x = 1
x=1/2
Method 2
5^(2x+1)=5^2
2x+1=2
2x=1
x=1/2
Answer:
x= 5.6
Step-by-step explanation:
we will need to put the information we currently have into an equation:
10•2•x= 112
then multiply 10•2 which equals 20...then the equation wil turn out like this:
20•x=112
now you will isolate the x... but how?? dividing 20 by itslef.. cancelling it out, and if you do one thing to the other side of the equation, you have to do it to the other...
20/20•x=112/20
you will end up with x= 122/20
you can use a calculator for this step, but to practice long division... (check the screen shot thingie)
hope this helped !! ^^
Answer:
Let x be odd such that LCM {x,40} = 1400 .
Since 1400 = 23×52×7 , then
x ∈ {5m×7n∣(m,n) ∈ {0,1,2}×{0,1}} .
By testing these values, we find that x = 175 .
Answer:
The average maximum heart rate for a 20 year old is <u>200 bpm</u>
The target heart rate is <u>100-170 beats per minute (bpm).</u>
I Hope this helps and I hope everything is okay!