- #1
sixshot8
- 1
- 0
exam problem : solve exponential withh ... log? This one is killin me!
36^x-6*6^x=-9
please show and explain steps
36^x-6*6^x=-9
please show and explain steps
AJKing said:Which equation are you asking about?
[itex]36^{x-6}*6^x = (-9)[/itex]
or
[itex]36^{x}-6*6^x = (-9)[/itex]
I would think you mean the first, correct?
AJKing said:Which equation are you asking about?
[itex]36^{x-6}*6^x = (-9)[/itex]
or
[itex]36^{x}-6*6^x = (-9)[/itex]
I would think you mean the first, correct?
To solve exponential equations with log, first identify the base of the exponential term. Then, use the logarithm rule logb(xn) = n*logb(x) to rewrite the equation. Next, use the inverse property of logarithms to isolate the variable. Finally, solve for the variable using basic algebraic principles.
The relationship between exponentials and logarithms is that they are inverse functions of each other. This means that if an exponential equation has the form y = ax, the inverse logarithmic equation would be x = loga(y). In other words, logarithms help us to "undo" exponents and solve for the variable.
The properties of logarithms, such as the power rule and product rule, can be used to simplify and solve equations involving logarithms. These properties allow us to rewrite logarithmic expressions and make them easier to work with. To use the properties, it is important to understand and apply the rules correctly.
Yes, you can use a scientific calculator to solve exponential equations with log. Most scientific calculators have a log button that allows you to input the base and the argument of the logarithm. Just make sure to use the correct base and follow the order of operations when inputting the equation.
Some common mistakes to avoid when solving exponential equations with log include forgetting to check for extraneous solutions, using the wrong log base, and not applying logarithm rules correctly. It is also important to double check your final answer and make sure it satisfies the original equation.