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High School
Algebra
Algebra II

Evaluating Logarithmic Expressions
Evaluate:
$\log_{4} (\frac{1}{256})$
I am not sure how to approach this since there is nothing set equal to it.

spatularificw2 2022-09-09

Solve this equation $4^{\log_{2} (x)} - 2^{\log_{2} (x)} = 3^{\log_{3} (12)}$
I thought to write $2^{\log_{2} (x)^{2}} - 2^{\log_{2} (x)} = 3^{\log_{3} (12)}$ . Then is there a way to factorize $2^{\log_{2} (x)}$ ? I don't know how to proceed...

Meldeaktezl 2022-09-09

Quick Log problem?
$2^{(x^{3})} = 3^{(x^{2})}$
Solve for x
I'm pretty sure I use logs to solve this, but how? to what base? I'm kinda lost.. Thanks

Dangelo Rosario 2022-09-09

Solving a second-degree exponential equation with logarithms
The following equation is given:
$8^{2 x} + 8^{x} - 20 = 0$
The objective is to solve for x in terms of the natural logarithm ln.
I approach as follows:
$\log_{8} (8^{2 x}) = \log_{8} (- 8^{x} + 20)$
$2 x = \log_{8} (- 8^{x} + 20)$
$2 x = \frac{\ln (- 8^{x} + 20)}{\ln 8}$
$x = \frac{\ln (- 8^{x} + 20)}{2 \ln 8}$
and at this point I'm unable to proceed.

Bruce Sherman 2022-09-09

Find distribution mean from the mean and sd of the log
I have a distribution with a long tail and use a model to predict the mean and standard deviation of its log.
Given the mean and standard deviation of the log, how do I find the mean of the actual distribution?

Hope Hancock 2022-09-09

Logarithmic Equation: How to solve for x
Equation:
$\log_{a} (x) + \log_{a} (x - 4) = \log_{a} (x + 6)$
Progress
$\log_{a} (x^{2} - 4 x) = \log_{a} (x + 6)$
$x^{2} - 5 x - 6 = 0$
Delta
$x 1 = 6$
$x 2 = - 1$

Paul Reilly 2022-09-09

A twin-engine plane flies 800 mi in the same amount of time it takes a single-engine plane to fly 520 mi. The rate of the twin-engine plane is 70 mph faster than the rate of the single-engine plane. Find the rate of the single-engine plane.

frobirrimupyx 2022-09-09

Steven has just purchased a home for $138,600. A mortgage company has approved his loan application for a 30- year fixed-rate loan at 5.25%.Steven has agreed to pay 20% of the purchase price as a down payment. If Steven made the same loan for 20 years, how much interest would he save?

cochetezgh 2022-09-09

How do you graph $f (x) = - \frac{x + 4}{2}$ using holes, vertical and horizontal asymptotes, x and y intercepts?

Modelfino0g 2022-09-09

The formula Upper N equals 3 x squared plus 4 x plus 1 represents the number of households N, in thousands, in a certain city that have a computer x years after 1990. According to theformula, in what year were there 65 thousand households with computers in this city?

treallt5 2022-09-09

The speed limit on a road to Canada is 70 kilometers per hour. what is the speed limit on miles per hour?

blogswput 2022-09-09

Find all elements $x_{1}, x_{2}, x_{3}, . . .</mo inZ_{77}such that each〈 x_{i} 〉is a proper subgroup ofZ_{77}. Enter your answer as a comma-separated list.$

Jadon Stein 2022-09-09

Given $F (r, s, t) = - r (s^{6} + 9 t^{6})$ , compute

obojeneqk 2022-09-09

When a 49 pound weight is attached to a spring, the spring stretches 7 inches. Assume that the length of the spring y varies directly with the weight attached x. Write and solve a direct variation equation to find the length of the spring when a 63 pound weight is attached.

Terry Briggs 2022-09-08

How do you graph $y = \frac{1}{x + 2} - 1$ ?

Terry Briggs 2022-09-08

Find solution:
$7 a^{2} + 53 a + 28$

rustenig 2022-09-08

Simplify
$(5 a^{5} b^{2} c)^{2}$

Gaige Haynes 2022-09-08

The price of a ring has been reduced by 20%. The new, reduced price is $360. What was the price of the ring before the reduction?

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Algebra II

Find:
$23 + 23 = ?$