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iGCSE (2021 Edition)

20.07 Further exponential equations (Extended)

Interactive practice questions

Consider the equation $2^{9x-4}=90$29x4=90.

a

Make $x$x the subject of the equation.

b

Evaluate $x$x to three decimal places.

Medium
2min

Which of the following is a good estimate for the value of $x$x, if $3^x=29$3x=29?

Easy
< 1min

Which of the following is a good estimate for the value of $x$x, if $2^x=\frac{1}{13}$2x=113?

Easy
< 1min

Consider the equation $13^x=5$13x=5.

Easy
1min
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Outcomes

0607E3.10A

Logarithmic function as the inverse of the exponential function y = a^x equivalent to x = log_a y. Solution to a^x = b as x = log b/log a.

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