Answer:
256 , or 0.00390625
Step-by-step explanation:
We use the first point given (0, 14) to solve <em>a </em>in terms of <em>b</em>. We have
We use the second point given (3,3024) to solve for the value of <em>b</em>,
Substitute the value of <em>a</em> solved by the equation above on the equation above and solve
Hence, the exponential function is written as
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
Answer:
Option A. $1.44
Step-by-step explanation:
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