Answer:
Step-by-step explanation:
log3^(2x+3) = log243
(2x+3)log3 = log243
2x+3 = log243/log3
2x = (log243/log3)-3
x = [(log243/log3)-3]/2
x = (5-3)/2
x = 2/2
x = 1
Check:
3^2(1)+3 = 243
3^2+3 = 243
3^5 = 243
3×3×3×3×3 = 243
9×9×3 = 243
81×3 = 243
243 = 243
Answer:
b = 17
Step-by-step explanation:
Pulling out like terms :
1.1 Pull out like factors :
425 - 25b = -25 • (b - 17)
Equation at the end of step 1 :
Equations which are never true :
2.1 Solve : -25 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation :
2.2 Solve : b-17 = 0
Add 17 to both sides of the equation :
b = 17
One solution was found :
b = 17
Processing ends successfully
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Answer:
x = 10.0
Step-by-step explanation:
Using the geometric mean formula:
x projection
----------------- = ---------------
entire base x
Here, the projection is 5 and the entire base is (20 + 5). So:
x 5
------------ = ------------
25 x
Cross multiply:
x² = 25 (5)
x² = 100
√x² = √100
x = 10
Answer:
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Step-by-step explanation:
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