Answer:
x=6
Step-by-step explanation:
81^x = 27 ^(x+2)
81 = 3^4 and 27 =3^3 so replace 81 and 27 in the equation
3^4^x = 3^3^(x+2)
When we have a power to a power we can multiply the exponents
a ^b^c = a^(b*c)
3^(4x) = 3^(3*(x+2))
Since the bases are the same, the exponents have to be the same
a^b = a^c means b=c
4x = 3(x+2)
Now we can solve for x
Distribute
4x = 3x+6
Subtract 3x from each side
4x-3x = 3x-3x+6
x = 6
Answer:
The greatest possible value of xy is 165.
Step-by-step explanation:
Answer: The answer is 5 but all of them are five but on the number line it’s going to the right with no fill in, it’s just a circle going to the right. Also it gives you a clue it says more than meaning greater than so it’s going this way > but the line is going this way 0———————-> on the number line with no black fill in.
Step-by-step explanation:
The value of b in the exponential function which is formed by Shanna for the price of land is 8% or 0.08.
<h3>What is percentage increase ?</h3>
Percentage increase is the amount added to the initial value in the percentage part.
The value of a plot of land which is increases 8% every year has the current value of $350000.
The final value owner wants is $570000. Shanna writes an exponential function of the form, to model the value,v, of the land in t years as,

Here, in this exponential function the value of a is fixed or initial term which is $350000 and the value of b is the constant term which is change factor. Here, the value of b is 8%.
b=8%
b=8/100
b=0.08
Thus, the value of b in the exponential function which is formed by Shanna for the price of land is 8% or 0.08.
Learn more about the percentage increase here;
brainly.com/question/2085058
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