The answer for this problem is C
1) 6^(3x)=104
loga =logarithm to the base a
loga n=z ⇔a^z=n
Therefore:
log6 104=3x
x=(log6 104) / 3
x=(ln 104) / 3ln 6=0.8640279....≈0.864 (loga z=ln a / ln z)
Answer: x≈0.864
2) log3 (x+2)+ log3 (4x-1)=5
log3 x=5 ⇔ 3⁵=x ⇒x=243
log3 [(x+2)(4x-1)]=log3 243
log3 (4x²+7x-2)=log3 243
Therefore:
4x²+7x-2=243
4x²+7x-245=0
we solve this square equation:
x=[-7⁺₋√(49+3920)] / 8 =(-7⁺₋63) / 8
we have two solutions:
x₁=(-7-63) / 8=-8.75 this solution is not valid.
x₂=(-7+63) /8=7
Answer: x=7
Hey there! :)
Answer:
arc AB = 2.5π in (in terms of pi) or ≈7.85 in. (pi = 3.14)
Step-by-step explanation:
Begin by finding the circumference of the circle. Use the formula:
C = 2rπ
C = 2(9)π
C = 18π.
Since ∠AQB equals 50°, set up a ratio to find the length of arc AB:
Cross multiply:
50 · 18π = 360x
900π = 360x
Divide both sides by 360:
x = 2.5π in, or ≈7.85 in.
Answer: 4 necklaces
Step-by-step explanation: 4/5 x 5 = 4
hope this helps
Answer:
= -1
= 2
= 5
Step-by-step explanation:
Just took the test
And I gt it right