User:Moha's yaseer

MOHA'S LOGARITHM AND EXPONENTIAL EQUATION

Are equation in the form of y=ax+Logbcx+d=0 where a,b,c and d are set of Real numbers moha's equation can be in linear form and simultaneous equation it has two part the exponential part with exponential function and logarithm part with logarithm function.

The linear function was determine only when using graph plotting the graph only gives the values of the unknown value the Moha's first law.

While the quadractic function in form of y=ax^2+Logbcx+d=0  which the value of the unknown is undefined because by Evaluation

y=ax^2+Log10cx÷Log10b=-d

y=(ax^2Log10b+Log10cx)÷Log10b=-d

multiplying both side by Log10b

We have

y=ax^2Log10b+Log10cx=-dLog10b

y=ax^2Log10b+Log10cx=Log10b^-d

The left hand side show that the equation is undefine because Log10b^-d is ∞ that means x= ∞

So Moha's quadractic equation is has been prove to ∞ that means the equation y=ax^2+Logbcx+d=0 the value of x is ∞ therefore the infinite simultaneous can only be in the form of linear function any two quadractic form in simultaneously the value of the variables is ∞ Moha's second law.

Moreover Any Moha's finite simultaneous equation can only be solve using subtitution method elimination method isn't allowed in Moha's equation of exponential funtion with Logarithm function Moha's third law

Example

1. If 4xx+y=90Log10× and Logx2y-x=50x

Find the value of x and y use the value to find the

10th of an geometric series with the first term of

60Logx and common ratio of 50y

SOLUTION

4x+y=90Log10x(1)

Logx2y-x=50x--(2)

Using equation 2

Logx2y-x=50x

X50x=2y-x

by multiplying both side by Log

LogX50x=Log2y-x

1/50Logxx=Log2y-x

Log2y-x=1/50

Log2y-x=0.02

2y-x=1.047

X=2y+1.0473

Subtitude the value of x into equation 1

42y+1.047+y=90Log102y+1.047

43y+1.047=90(Log102y+Log101.047)

64yx 2.269=90(Log102y+0.020)

64y-39.665Log102y-0.793=0

64y =39.7Log102y-0.8

Using the graph

y=1

Subtitude the value of y into equation

3

X=3.047

Therefore  T10=(60Logx)(509y)

T10=60Log3.047x509(1)

T10=7.2x1015

Example 2

4x +6Log4x -6=0

Using graph x=4