Answer:
x = 2
Step-by-step explanation:
Taking antilogs, you have ...
2³ × 8 = (4x)²
64 = 16x²
x = √(64/16) = √4
x = 2 . . . . . . . . (the negative square root is not a solution)
___
You can also work more directly with the logs, if you like.
3·ln(2) +ln(2³) = 2ln(2²x) . . . . . . . . . . . write 4 and 8 as powers of 2
3·ln(2) +3·ln(2) = 2(2·ln(2) +ln(x)) . . . . use rules of logs to move exponents
6·ln(2) = 4·ln(2) +2·ln(x) . . . . . . . . . . . . simplify
2·ln(2) = 2·ln(x) . . . . . . . . . . . subtract 4ln(2)
ln(2) = ln(x) . . . . . . . . . . . . . . divide by 2
2 = x . . . . . . . . . . . . . . . . . . . take the antilogs
Answer:
$241009.50
Step-by-step explanation:
35.50*3247=115268.50
35.50*3542=125741.00
+________
241009.5
Answer:
that truck must be straight fire
Answer:
BC = 23.8
Step-by-step explanation:
See the diagram attached.
Given AC ║ DE and BD = 5, DA = 12 and BE = 7.
We have to find BC.
Since, AC ║ DE, so, Δ ABC and Δ DBE are similar.
If two triangles are similar then the ratio of their corresponding sides remains the same.
Hence, 
⇒ 
⇒ 
(Answer)
