Answer:

Step-by-step explanation:
5^2x=7^x+1 ⇔ ln5^2x = ln7^x+1 ⇔ 2xln5 = (x+1)ln7 ⇔ (2ln5-ln7)x = ln7
⇔ x = ln7/(2ln5-ln7)
9514 1404 393
Answer:
n = 99
Step-by-step explanation:
The sum of logarithms is the log of a product. Here, the sum of terms is ...
log(2/1) +log(3/2) +log(4/3) + ... +log((n+1)/n)
= log((2/1)(3/2)(4/3)×...×((n+1)/n)) = log(n+1)
So, the question reduces to ...
log(n+1) = 2
Taking antilogs, we have ...
n +1 = 10^2 = 100
n = 99
The value of n that makes the sum 2 is 99.
0.0135135135135135135135135 etc
2 minutes = 1.20 dollars for price of sundae.in 4 hours how many minutes are there?=> 60 * 4 hours = 240 minutes => 240 / 2minutes per sundae = 120 minutes => 120 * 1.20 = 144 dollars in 4 hoursOr 72 dollars in 2 hours