The equation ( \log_A 6 = B ) can be rewritten using exponents as ( A^B = 6 ). If we also have ( a^b = c ), we can express ( A ) as ( a ), ( B ) as ( b ), and ( 6 ) as ( c ). Thus, ( a = A ), ( b = B ), and ( c = 6 ).
log(n/m) = 15 => n/m = 10^15 or n = m*10^15
To solve equations with negative exponents and different bases, first rewrite each term with a positive exponent by applying the rule (a^{-n} = \frac{1}{a^n}). This may involve moving terms across the equation. Once all terms have positive exponents, you can simplify or solve the equation by isolating the variable or using logarithms, if necessary. Finally, check for extraneous solutions, especially if you manipulated the equation significantly.
To simplify an equation using exponents, first identify the base numbers and their respective powers. Apply the laws of exponents, such as the product of powers (adding exponents when multiplying like bases), the quotient of powers (subtracting exponents when dividing like bases), and the power of a power (multiplying exponents when raising a power to another power). Combine like terms and reduce any fractions as needed. Finally, express the equation in its simplest form.
You cannot because an exponent cannot be solved: only an equation or inequality can be solved. In any case, the answer will depend on the nature of the equation and which exponent is missing. Without that information there cannot be any sensible answer.
YES
log(n/m) = 15 => n/m = 10^15 or n = m*10^15
To solve equations with negative exponents and different bases, first rewrite each term with a positive exponent by applying the rule (a^{-n} = \frac{1}{a^n}). This may involve moving terms across the equation. Once all terms have positive exponents, you can simplify or solve the equation by isolating the variable or using logarithms, if necessary. Finally, check for extraneous solutions, especially if you manipulated the equation significantly.
To simplify an equation using exponents, first identify the base numbers and their respective powers. Apply the laws of exponents, such as the product of powers (adding exponents when multiplying like bases), the quotient of powers (subtracting exponents when dividing like bases), and the power of a power (multiplying exponents when raising a power to another power). Combine like terms and reduce any fractions as needed. Finally, express the equation in its simplest form.
You cannot because an exponent cannot be solved: only an equation or inequality can be solved. In any case, the answer will depend on the nature of the equation and which exponent is missing. Without that information there cannot be any sensible answer.
Technetium-99 has not a chemical equation but an isotopic symbol. This is Tc with:- to the left, as a superscript, 99- to the left as a subscript, 43
They are experimentally determined exponents
YES
linearity is defined as the situation when all variable exponents are equal to one
A numerical expression is simply a set of numbers separate by mathematical operations, but without an equality (or inequality) sign. The equality or inequality sign would make it an equation rather than an expression. Examples of mathematical operations are addition, subtraction, multiplication, division, exponents, logarithms, trigonometric functions, factorials.
2*(10^y + 11) = 4 - 5*(1 - 10^y) 2*10^y + 22 = 4 - 5 + 5*10^y 23 = 5*10^y - 2*10^y = 3*10^y Therefore 10^y = 23/3 and so y = log(23/3) = 0.885
You know if an equation is linear if it is a straight line. You can also know if the equation is y = mx + b where there are no absolute values nor exponents.
You know if an equation is linear if it is a straight line. You can also know if the equation is y = mx + b where there are no absolute values nor exponents.