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2 years ago

What equation is equivalent to 2^3^x =10

Mathematics

1 answer:

Tresset [83]2 years ago

6 0

Answer:

$log_2(10)$

Simplify the equation using logarithms.

$2^3x=10$

$log_1_0(2^3x)=log_1_0(10)$

log rule ⇩

$log_a(x^y)=y*log_a(x)$

move exponent out of log.

$x*log_1_0(2)=log_1_0(10)$

<em>isolate variable further</em>

$x*log_1_0(2)=log_1_0(10)$

$x=\frac{log_{10}(10)}{log_{10}(2)}$

formula for combining logs. ⇩

$\frac {log_b(x)}{log_b(a)}=log_a(x)$

the result ⇩

$x=log_2(10)$

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Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

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