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Find the value of $x$ $\frac{x^{\sqrt{x}}} {\sqrt{x}}=\frac{{\sqrt{x}}^x}{\sqrt{x}}$ Since both sides of the equation have a common denominator, multiply through by $\sq…

Find the integer solution for $3^x+27^y+81^z=10935$ This is a rather thickish question so we have to be very careful in our simplifications. The left hand side of the eq…

olve the logarithmic equations $\log_3(x+1)=\log_4(x+8)$ The bases of this equation is different so Let $\log_3(x+1)=y$...............................(i) And Let $\log_4…

Solve the indicial equation $4^\frac{1}{x}-6^\frac{1}{x}=9^\frac{1}{x}$ To solve the equation, simply divide through by any of the term since the indices are all given i…

The question says evaluate the polynomial $\frac{x^2}{ax+b}$ using long division. Therefore, $f(x)=x^2=(ax+b)(\frac{x}{a}-\frac{b}{a^2})+\frac{b^2}{a^2}$.

How do you proof $\sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}$? It is not always true. To see the clear picture, we solve some clear examples. Remember, $\sqrt{\frac{a}…

Find $x$ if $\sec^2{x}+\tan^2{x}=3$ From our trigonometric identities $\sec^2{x}=\frac{1}{\cos^2{x}}$ $\tan^2{x}=\frac{\sin^2{x}}{\cos^2{x}}$ Now, $\frac{1}{\cos^2{x}}+\…

How to find the square root of whole numbers and fractions without using calculator Have you ever found yourself in an awkward situation probably in an exam hall or apti…

What is a fraction in mathematics?  In this lecture, we are going to discuss addition and subtraction of fractions.  Fractions are rational numbers with the form $\frac{…

Graphs of Inequalities in One Variable Graphically, an inequality that involves only one variable $x$  is represented as points on a line: e.g $-2\leq{x}<5$ can …

Introduction to Algebraic Inequalities[Symbols and Properties] Inequality is simply a system of ordering, in mathematics, ordering is very important as it allows…

THE COMPUTER NUMBER SYSTEM Today we are starting a new topic after successfully rounding up the previous topic of logarithm , and i will be starting with t…

Solution To Exercises in Logarithm The following exercises have been extracted from the New General Mathematics for Senior Secondary Schools Book 3.  Solve the Fo…

HOW TO EVALUATE LOGARITHMS PROBLEMS The following exercises have been extracted from the New General Mathematics Book 3 for Senior Secondary Schools. In my last tuto…

BASIC CONCEPTS OF LOGARITHMS Its been quite a while since i last updated, that was due to some of my busy academic schedules. For the next few weeks i will …

MTH1301 Test Solutions ( 1 ) Let the universal set be \begin{align*} &\bigcup=\{x:x\ \text{is a natural number less than} 10\}\\ &A=\{x:x\ \text{is an odd…

( 1 ) A container has 30 gold medals,22 silver medals and 18 bronze medals.if one medal is selected at random from the container, what is the probability that it is no…

JAMB Past Questions And Solutions ( 1 ) factorize completely $ac-2bc-a^2+4b^2$ A . $(a-2b)(c+a-2b)$ B . $(a-2b)(c-a-2b)$**** C . $(a-2b)(c+a+2b)$ D . $(a-2b)(c-a…

Basic math SEQUENCES AND SERIES Sequences: the topic of sequences is an aspect of mathematics that is widely treated in the field of real analysis, generally s…