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Algebra II

If
${0.3}^{x} = a b, \log b = 0.4$ , what is the value of x to the nearest tenth

Suman Cole 2021-10-20

Condense the following log expression.
$- 2 \log_{3} (x y) + \frac{4}{5} \log_{3} z^{10} + \log_{3} (x + 1)$

$x \log_{a} b = \log_{a} b^{x}$

usagirl007A 2021-10-20

Use the Laws of Logarithms to expand the expression.
$\log (\frac{x^{7} y^{2}}{z^{7}})$

shadsiei 2021-10-20

Difference Quotient
$If f (x) = \log_{a} x, show that \frac{f (x + h) - f (h)}{h} = \log_{a} {(1 + \frac{h}{x})}^{\frac{1}{h}}, h \neq 0$

slaggingV 2021-10-20

Use the Laws of Logarithms to expand the expression.
a. $\log ({\frac{x y^{3}}{z^{2}}})$
b. $\ln {\sqrt{\frac{x}{y}}}$
c. $\log \sqrt{3} {\frac{x + 2}{x^{4} (x^{2} + 4)}}$

OlmekinjP 2021-10-20

Use properties of logarithms to rewrite the expression as a sum, difference, or multiple of logarithms.
$\ln \frac{3 x}{\sqrt{x^{2} - 5}}$

jernplate8 2021-10-20

Use common logarithms or natural logarithms and a calculator to evaluate to four decimal places $\log_{40.863}$

Trent Carpenter 2021-10-19

Express th equation in exponential form. a) $\log_{5} (\frac{1}{5}) = - 1$
b) $\log_{464} = 3$

slaggingV 2021-10-19

If $f (x) = \log_{a} x$ , show that $\frac{f (x + h) - f (x)}{h} = \log_{a} {(1 + \frac{h}{x})}^{\frac{1}{h}}, h \neq c 0$

Ava-May Nelson 2021-10-19

To evaluate the root $\sqrt{100}$ .

Lewis Harvey 2021-10-18

Use The Properties Of Logarithms To Simplify
$\log_{23.2} - \log_{20.025}$

Cheyanne Leigh 2021-10-18

Find each logarithms equation.
$\log_{1} x + \log_{4} (x - 3) = 1$

pedzenekO 2021-10-18

(a) If a is a zero of the polynomial P, then must be a factor of P(x). (b) If a is a zero of multiplicity m of the polynomial P, then must be a factor of P(x) when we factor P completely.

Yulia 2021-10-18

To calculate:
To simplify $- 6 x^{2} - (- 2 x^{2})$ .

amanf 2021-10-17

Write the expression as a sum and/or difference of logarithms. Express powers as factors.
$\log [\frac{x (x + 6)}{{(x + 8)}^{4}}], x > 0$

Cem Hayes 2021-10-17

Use properties of logarithms to expand the logarithmic expression $\log_{8} (13 \cdot 7)$ as much as possible. Where possible, evaluate logarithmic expressio ns without using a calculator.

EunoR 2021-10-17

A given polynomial has a root of x = 3, an zero of x = -2, and an x-intercept of x = -1.
The equation of this polynomial in factored form would be f(x) =
The equation of this polynomial in standard form would be f(x) =

melodykap 2021-10-16

Use the Laws of Logarithms to combine ech expression into a single logarithm.
(a) $3 \log x + \frac{1}{2} \log (x + 1)$
(b) $3 \log s + \frac{1}{2} \ln t - 4 \ln (t^{2} + 1)$

Annette Arroyo 2021-10-15

Write the following as the sum or difference of logarithm. Simplify as much as possible. Assume the variables represent positive real numbers.
$\log \sqrt{5} {\frac{x^{3}}{y^{4} z}}$

naivlingr 2021-10-15

Use the Laws of Logarithms to expand the expression.
$\log_{2} {(\frac{s^{5}}{7 t^{2}})}$

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