12) We first take care of the exponents: log_6 z + log_6 (x^2) - log_6 (y^3). Then we condense into a single expression: log_6 (zx^2 / y^3)
13) 5 + 8log_7 (v + 10) = 298log_7 (v + 10) = 24log_7 (v + 10) = 37^3 = v + 10343 = v + 10v = 333
14) log_5 (x^2) + log_5 (4) = 1log_5 (4x^2) = 15^1 = 4x^25/4 = x^2x = +/- sqrt(5) / 2 = +/-1.1180
*No extraneous solutions here, since the equation only uses x^2, not x.
15) -6*12^(b+7) +1 = -6-6*12^(b+7) = -712^(b+7) = 7/6
log 12^(b+7) = log(7/6)(b+7) log 12 = log (7/6)b+7 = log(7/6) / log(12) = 0.06203b = -6.9380
Answer:
Step-by-step explanation:
In the question, we're given that the notation 
produces a number 
less than the product of 
and 
raised to the power. Let the number produced be 
. As a mathematical equation, we can write this production as 
For 
, we can assign:
Substituting these values into , we get:
Add 2 to both sides:
Take the square root of both sides:
For 
, there are two cases:
Therefore, we have:
The only answer choice applicable is 
.
You just have to set the denominator to zero and solve for x
The next step is most likely to add 3 to both sides, so that 3 cancels out, and 15 turns into 18.
The answer is: Step 4: 3x = 18
(I don't know if you want me to continue or not, but I will) ;)
Then divide by 3 on both sides so that 3 cancels out and 18 turns into 6, and you have the value of x.
Step 5: x = 6
You can check your answer by replacing x with 6.
5 · 6 - 2 · 6 - 3 = -2 + 17
15 = 15
Hope this helped! If you have anymore questions or don't understand, please comment or DM me. :)
Answer:
the one selected, the one on top
Step-by-step explanation:
