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Condense the logarithmic expression $\log_{2}\left(3828\right)-\log_{2}\left(33\right)-\log_{2}\left(29\right)$

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Solution

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Final answer to the problem

$2$
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Step-by-step Solution

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  • Choose an option
  • Condense the logarithm
  • Expand the logarithm
  • Simplify
  • Find the integral
  • Find the derivative
  • Write as single logarithm
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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1

The difference of two logarithms of equal base $b$ is equal to the logarithm of the quotient: $\log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right)$

Learn how to solve differential calculus problems step by step online.

$\log_{2}\left(116\right)-\log_{2}\left(29\right)$

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Learn how to solve differential calculus problems step by step online. Condense the logarithmic expression log2(3828)-log2(33)-log2(29). The difference of two logarithms of equal base b is equal to the logarithm of the quotient: \log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right). The difference of two logarithms of equal base b is equal to the logarithm of the quotient: \log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right). Decompose 4 in it's prime factors. Use the following rule for logarithms: \log_b(b^k)=k.

Final answer to the problem

$2$

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Plotting: $2$

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0
a
b
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f
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n
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y
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(◻)
+
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◻/◻
/
÷
◻2
◻◻
√◻
√

◻√◻
◻√
∞
e
π
ln
log
log◻
lim
d/dx
D□x
∫
∫◻
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

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Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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