Take the logarithm of both sides. The base of the logarithm doesn't matter.


Drop the exponents:

Expand the right side:

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :


Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

You can stop there, or continue simplifying the solution by using properties of logarithms:



You can condense the solution further using the change-of-base identity,

Answer:
x = -12
Step-by-step explanation:
Step 1: Subtract 2x from both sides
2x + 10 = -14
Step 2: Subtract 10 from both sides
2x = -24
Step 3: Divide both sides by 2
x = -12
Answer: The cost of a ticket bought online is $12.60.
Step-by-step explanation: First, we need to find the value of the transaction fee. Multiply 12 and 5%.
$12 x 0.05 = $0.60.
Now we have the fee. Lets add the fee with the original cost.
$12 + $0.60 = $12.60.
Therefore, we can conclude that the cost of a ticket that is purchased online is $12.60.
The answer is 3) 5+r/14
Let's go segment by segment:
<span>"five plus" means addition, so we have 5 +
</span><span>"the quotient of r and 14" is the division result, so sign / must be present: 14/r
</span>
Therefore "five plus the quotient of r and 14" is 5 + 14/r