First, subtract 7 on both sides. Now, you have 4x<1. Divide by 4 on both sides. Finally, you get x<1/4 (a quarter or said as one-fourth). So, x<1/4.
Answer:
To help in solving exponential equations when relating the bases cannot be used
Step-by-step explanation:
Recall an equation of the form
from the expression
,
is the base and the power is
.
it is impossible to carryout the operation since the bases are not equal.
This is where we implore the help of logarithm which help us to bring the base to a come base i.e using the property below
.
Hence we can conclude that logarithm helps in solving equations when bases cannot easily be related.
Answer:
Carlos has practiced piano for
hours.
Carlos needs to practice
hours.
Step-by-step explanation:
We have been given that Carlos wants to practice piano 2 hours each day. He practices piano for 3/4 hour before school and 7/10 hour when he gets home.
First of all, we will find piano practiced before school and after school by adding both amounts as:

Make a common denominator:


Add numerators:

Therefore, Carlos has practiced piano for
hours.
Now, we will subtract
from 2 find number of hours Carlos needs to practice to reach his goal.





Therefore, Carlos needs to practice
hours before going to bed in order to meet his goal.