log2(x-3)+log(2x+6)<=2, (<=, less or equal)

log2(x-3)+log(2x+6)<=2, (<=, less or equal)

If half of the dimes in the United States disappear every 37 years – and are not replaced – how long will it take for the 4.2 billion dimes minted last year to be virtually all gone?

a) log (a2 / b4 √c) b) ln (√x2 +4 / (x2 + 1)(x3 - 7)2) c) 4 ln x −1/3 ln(x2 + 1) + 2 ln(x − 1) d) log 5 + 2 log x + 3 log(x2 +...

In 1980, the population of blue whales in the southern hemisphere was thought to number 4500. The population N(t) has been decreasing according to the formula N(t) = 4500e−0.1345t, where...

ln(4)-ln(x)=-0.15

log3√243√813√3 ⁄ log3 4√64+logee-10

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

Equation: log16 2 = 1/4 Choices: A) (1/4)^2 = 16 B) 161/4 = 2 C) 162 = 1/4 D) 216 = 1/4

Equation: 192 = 361 Choices: A) log361 19 = 2 B) log361 2 = 19 C) log19 361 = 2 D) log19 2 = 361

Let F(x)=eX+3 Find the inverse of the function

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

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

log√x / y3 3√z

2log base 4 9 - log base 2 3

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 f(x)? Thanks, Richard...

Log11m^7-33=-20

(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

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 reason...

3^(2log base 3 5)

y = log10[sin(x-3) + √(16- x2)]