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I guess the original expression is 125 = 5^x
If you apply logarithms to both sides, you get:
log (125) = x * log (5) <----------- logaritmic equation
=> x = log (125) / log(5)
Given that 125 is 5^3
you can simplify to
x = log (5^3) / log(5) = 3 log (5) / log (5) = 3 * 1 = 3
There you have the expression as a logarithmic equation and the solution of the equation.
Answer:
Step-by-step explanation:
you have a right triangle
to find the missing length(x) you will use
a^2+b^2=c^2
where c is the hypotenuse
49^2=25^2+x
x^2=49^2-25^2=2401-625=1776
x=
=42.1
Answer:
1/27
Step-by-step explanation:
The chance of getting X is ⅓. The chance of getting X then Y is ⅓², or ⅑. Finally, the chance of getting X, then Y, then Z is ⅓³, or 1/27
X=dimes y=quarters
0.1x + 0.25y = 2.95
x+y = 16
from the second equation, x = 16 - y and thus 0.1 (16-y) +0.25y = 2.95 ==> y=9. Finally, x + 9 = 16 ==> x=7
7 dimes, 9 quarters
