How do I solve for x? Where I have 90=145+20log(50/x)
# x = 2509.362 # (3dp)or an exact answer
# x = 50 xx 10^2.7 # ,Assuming base
#10# logarithms.
We have:
Which can be rearranged step by step as follows:
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To solve for ( x ), follow these steps:

Subtract 145 from both sides of the equation: [ 90  145 = 20\log\left(\frac{50}{x}\right) ]

Simplify the left side: [ 55 = 20\log\left(\frac{50}{x}\right) ]

Divide both sides by 20: [ \frac{55}{20} = \log\left(\frac{50}{x}\right) ]

Simplify the left side: [ \frac{11}{4} = \log\left(\frac{50}{x}\right) ]

Rewrite the equation in exponential form: [ 10^{\frac{11}{4}} = \frac{50}{x} ]

Solve for ( x ): [ x = \frac{50}{10^{\frac{11}{4}}} ]

Calculate ( 10^{\frac{11}{4}} ): [ 10^{\frac{11}{4}} \approx 0.0189 ]

Substitute the value into the equation: [ x = \frac{50}{0.0189} ]

Calculate ( \frac{50}{0.0189} ) to find the value of ( x ).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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