you have $155 in a savings account. you decide tobl add $20 to the account every week. write an expression that shows your savin
2 answers:
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For this particular question, there are three specific rules that are necessary as well as the principle of reverting and obtaining logs to and from their exponential form.
Three specific rules:
1)
2)
3) a⁰ = 1
Principle:
⇒ 
So:
Using rule 2, we can firstly write out the given logarithmic equation as:
log₇(5x) = log₇((3)⁴)
log₇(5x) = log₇(81)
Subtract log₇(81) from both sides to get:
log₇(5x) - log₇(81) = 0
Now, use rule 1 to get a single log:
log₇(5x/81) = 0
Use principle to convert this to exponential form:
7⁰ = 5x/81
Use rule 1 and solve for x:
5x/81 = 1
5x = 81
x = 81/5 = 16.2
Three specific rules:
1)
2)
3) a⁰ = 1
Principle:
So:
Using rule 2, we can firstly write out the given logarithmic equation as:
log₇(5x) = log₇((3)⁴)
log₇(5x) = log₇(81)
Subtract log₇(81) from both sides to get:
log₇(5x) - log₇(81) = 0
Now, use rule 1 to get a single log:
log₇(5x/81) = 0
Use principle to convert this to exponential form:
7⁰ = 5x/81
Use rule 1 and solve for x:
5x/81 = 1
5x = 81
x = 81/5 = 16.2