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    how do you do these can anyone write a step by step method please or a website I could find these on ? Name:  image-bc8c1823-5a2c-46d2-b505-976ca23a886a1863322225409080821-compressed.jpg.jpeg
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    To solve index equations, the first part is getting everything to the same base. E.g. 27^x = (3^3)^x = 3^3x. Once they're all the same base, if they're equal to each other, you can compare them.
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    For 1 and 2, there is only one value of x, so you can make x the subject of the equation and use a calculator to solve. For c and d, you want to make the bases equal so that you know the powers must be equal and can therefore make a simple equation
    Hint:
    For C, write 27^x in terms of 3 to the power of something using the fact that 27=3^3
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    wolframalpha is a pretty good site
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    (Original post by 3pointonefour)
    To solve index equations, the first part is getting everything to the same base. E.g. 27^x = (3^3)^x = 3^3x. Once they're all the same base, if they're equal to each other, you can compare them.


    how do you get the bases to be the same I'm confused with that ?
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    (Original post by Wildnatxox)
    how do you get the bases to be the same I'm confused with that ?
    Look at the smaller number and try to make the other numbers into a power of that number. So if we have 3 and 9, 3 is the smallest number so we can write 9 as 3^2.
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    (Original post by 3pointonefour)
    Look at the smaller number and try to make the other numbers into a power of that number. So if we have 3 and 9, 3 is the smallest number so we can write 9 as 3^2.


    so you look at the lowest common multiple ?
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    (Original post by Wildnatxox)
    so you look at the lowest common multiple ?
    Not the lowest common multiple - just the lowest number. And try to get the other numbers into powers of that smallest number.
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    (Original post by 3pointonefour)
    Not the lowest common multiple - just the lowest number. And try to get the other numbers into powers of that smallest number.


    does it matter what base number I chose to make the same?
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    (Original post by Wildnatxox)
    does it matter what base number I chose to make the same?
    Nope. As long as they're the same
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    (Original post by 3pointonefour)
    Nope. As long as they're the same

    how do you know what the answer is meant to be?
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    (Original post by Wildnatxox)
    how do you know what the answer is meant to be?
    Show me your working so I can see where you're at.
 
 
 
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