441 Answered Questions for the topic Logarithms

Logarithms Calculus

07/24/17

#### Consider the function f : x |→ 1/x * ln x.

(a) Find the lim x→0(b) Find the interval on which f is increasing.
(c) Find the point at witch f attains its maximum value

Logarithms

07/24/17

#### Let log_b2=A and log_b3=C. Write the expression log_b√(2/27) in terms of A and C

Let log_b2=A and log_b3=C. Write the expression log_b√(2/27) in terms of A and C

Logarithms

07/23/17

#### Logarithm cancellation problem

In a maths lecture recently, my tutor wrote that log base a of b multiplied by log base b of c was equal to log base a of c, apparently the b's in the equation cancel, however, I can't see any...
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Logarithms

07/18/17

#### Find the domain of y = log10[sin(x-3) + √(16-x2) ] ( where 10 is base)

y = log10[sin(x-3) + √(16- x2)]

Logarithms

07/11/17

#### Properties of Logarithms

Rewrite in terms of logax, logay, and logaz, using properties of logarithms:
In(√x2/y3)

Logarithms

07/02/17

#### og base 7 7 x square root of 7

Precalculus. Asked to evaluate each logarithm. Exact answers only. No decimal approximations.

Logarithms

07/01/17

#### Why log x = exponent; rather than log f(x) = exponent, if f(x) = 10^x?

Terminology question: I find the switching of x and y a contradiction, since b^x=y, or 10^x=y, or e^x=y or f(x). Why b^y=x when the function is the base to an exponent equals the y value or...
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06/24/17

#### Worded indicies problem- Find temperature of liquid

When a liquid is placed into a refrigerator, its temperature T°C at a time t minutes is given by the formula
T=T*10^-kt
The temperature is initially 100°C and drops to 40°C in 5 minutes.
Find...
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05/25/17

#### Simplify ln(3((x^2)+1)) into a polynomial

Not necessarily the answer, just confused as to what the question is asking me! So if possible steps to arrive at the answer would be much appreciated! Thank you!
rewritten:
simplify into a...
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Logarithms

05/13/17

#### If log ab + log bc + log ac = 10 (for positive values of a, b and c), what is the value of log abc?

Please explain the steps on how to figure this problem out.

Logarithms

05/10/17

#### Solve the problem.

The pH of a solution ranges from 0 to 14. Anacid has a pH less than 7. Pure water is neutraland has a pH of 7. The pH of a solution isgiven by pH = - log x where x represents theconcentration of...
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Logarithms

05/08/17

#### Suppose that ln 2 = a and ln 5 = b. Use properties of logarithms to write each logarithm in terms of a and b. 20) ln 10 21) ln 7 20

Suppose that ln 2 = a and ln 5 = b. Use properties oflogarithms to write each logarithm in terms of a and b.
ln 10
ln7√20

Logarithms Exponential Growth

05/07/17

#### in 2000, a company had 1145 stores nationwide. By 2002, this total had grown to 1535.

in 2000, a company had 1145 stores nationwide. By 2002, this total had grown to 1535. If the number of stores continues to grow exponentially at the same rate, how many stores will there be in...
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Logarithms Log

05/04/17

#### Write an equation for option 2 and find how much money would you make on the 30th day.

Suppose a retired professor who lives next door offers to pay you to work for him for the next 30 days. He says he will pay you $500 per day (option 1), or if you would like, he will pay you $0.01...
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Logarithms

04/23/17

#### Evaluate using the properties of log

given that loga^2=0.693 , loga^6=1.792 , loga^5=1.609
find loga^60

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