Log base b=logb
4 log₂ 2x+ 2logb x=4
log₂(2x)⁴+logb x²=log₂16
log₂ 16x⁴+ logb x²=log₂ 16
logb x²=log₂ 16 - log₂ 16x⁴
logb x²=log₂ (16/16x⁴)
logb x²= log₂ x⁻⁴
logb x²=log₂ x² / log₂ b
log₂ x² / log₂ b=-log x⁴
log₂ b=log₂ x² /- log₂ x⁴
log₂ b=2 log x / -4 log₂ x
log₂ b=-1/2 ⇔ b=2⁻¹/² =1/√2=(√2)/2≈ 0.707106781....
Answer: b=(√2)/2
To chek
if x=10
log base √2/2= log√2/2
4 log₂ 20 + 2log√2/2 10=4(4.321928095...)+2 (-6.64385619=
= 17.28771238-13.28771238=4
Answer:
7
Step-by-step explanation:
Answer:
Step-by-step explanation:
Change of base formula:
Changing to base 10:
Answer:
equation has no solutions
Step-by-step explanation:
4p - 6= 3 +4p (subtract 4p from both sides)
-6 = 3
As you can see, -6 is obviously not equal to 3, hence we can conclude that the equation has no solutions.
The amount of money Blake have in the end is 3560 + (2740 - x)
In the game Amanda had $2740 in play money and Blake had $3560 in play money.
Amanda had to give some money she possessed.
Let
what remains after Amanda gave the money = x
Therefore, Blake will have the following money at the end .
The amount she gave to Blake = (2740 - x)
Blake money = 3560 + (2740 - x)
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